# LCM and HCF Formulas

## Basic Formulas of LCM and HCF

LCM and HCF formulas, properties and important ways to solve LCM and HCF Questions are given below on this page below..

### Using Formulas of HCF and LCM  in Questions

Question:   Calculate the highest number that will divide 43, 91 and 183 and leaves the same remainder in each case

Options

A. 4

B. 7

C. 9

D. 13

Solution:    Required number = H.C.F. of (91 – 43), (183 – 91) and (183 – 43)

H.C.F. of 48, 92 and 140 = 4.

Question: Which of the following is  greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

Options

A. 9700

B. 9600

C. 9800

D. 9650

Solution:    Greatest number of 4-digits is 9999.

Now , find the L.C.M. of 15, 25, 40 and 75 i.e.  600.

On dividing 9999 by 600, the remainder is 399.

Hence,  Required number (9999 – 399) = 9600.

Question:   The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

Options

A. 25 cm

B. 15 cm

C. 35 cm

D. 55 cm

Solution:     Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

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### 2 comments on “LCM and HCF Formulas”

• Dattatry

Nice explanation 😊 thanku 4
• aasawariboxey2001

Awesome explanation! 4