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# LCM Questions and Answers

# LCM Questionsâ€‹

## 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:

**Â 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**