LCM Questions​

Definition of LCM

Lowest Common Multiple (LCM) is the least number that is exactly divisible by each of the specified figures. In other words, it is the lowest number, which is the common multiple of the given two or more than two numbers. This page consists LCM Questions and Answers to improve your concept and speed for multiple competitive exams.

To find the LCM Questions and Answers using the prime factorization method, do the following:

Step 1: Display each integer as the sum of its prime elements.

Step 2: LCM will be the product of all prime factors’ highest powers.

To find the LCM Questions and Answers using the division method, do the following:

Step 1: Begin by writing the numbers in a horizontal line separated by commas.

Step 2: Next, divide all of the numbers given by the smallest prime number.

Step 3: Below the previous line, write the quotients and undivided numbers in a new line.

Step 4: Continue this process until we reach a point where there are no prime factors in common.

Step 5: The product of all the divisors and the numbers in the final line is LCM.

For any two numbers, use the L.C.M formula:

1) If we know the greatest common divisor (GCD) of two numbers, we can simply calculate LCM using the following formula:

LCM = $\frac {a*b}{GCF of (a,b)}$

2) To find the LCM of two fractions, we must first find the LCM of the numerators and the HCF of the denominators.
Additionally, both of these outcomes will be reported as a fraction.

Thus, LCM =$\frac { L.C.M of Numerator }{H.C.F of Denominator}$

Read Formulas to Solve LCM Questions

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How to Solve LCM Questions Quickly

Question 1

Time: 00:00:00
The ratio between two numbers is 13:15 and their LCM is 39780. The numbers are:

2652,3060

2652,3060

884, 1020

884, 1020

884, 1040

884, 1040

670, 1340

670, 1340

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Question 2

Time: 00:00:00
Find the lowest number which when divided by 15, 27, 35, 42 leaves a remainder 9 in each case?

1890

1890

1890

1890

1880

1880

1889

1889

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Question 3

Time: 00:00:00
Find the smallest number which when increased by 8 is perfectly divisible 30  45  65  78?

1160

1160

1150

1150

1162

1162

1168

1168

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Question 4

Time: 00:00:00
Find the lowest number, which when decreased by five, is exactly divided by 20   28   35   105?

420

420

425

425

440

440

445

445

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Question 5

Time: 00:00:00
Find the lowest number which when divided by 35   45   55 leaves the remainders 18   28   38   respectively?

3440

3440

3448

3448

3445

3445

3450

3450

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Question 6

Time: 00:00:00
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9, and 12 seconds. How many seconds will they toll together again?

72 sec

72 sec

612 sec

612 sec

504 sec

504 sec

318 sec

318 sec

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Question 7

Time: 00:00:00
40 If the two numbers are in the given ratio, which is 4:5 and their H.C.F is 40, find their L.C.M?

37

37

45

45

40

40

None of the above

None of the above

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Question 8

Time: 00:00:00
The given ratio of two numbers is 3:2. If the L.C.M of them is 30, then calculate their sum.

34

34

50

50

55

55

None of the above

None of the above

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Question 9

Time: 00:00:00
Find the LCM of two numbers whose product is 2025 and their HCF is 15?

30375

30375

2040

2040

135

135

2010

2010

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Question 10

Time: 00:00:00
The product of two-digit numbers is 2160, and their GCM is 12. The numbers are:

12,180

12,180

72, 30

72, 30

36, 60

36, 60

96, 25

96, 25

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Question 11

Time: 00:00:00
Find the least number which when divided b 16, 18 and 21 leaves a remainder 3, 5 and 8 respectively?

893

893

995

995

1024

1024

982

982

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Question 12

Time: 00:00:00
The HCF and LCM of three particular numbers are 6, 12, 18. If one number is 24, find the next number?

55

55

54

54

67

67

None of the above

None of the above

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Question 13