Least Common Multiple of 735, 420, 853, 972, 371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 735, 420, 853, 972, 371 i.e. 10766071260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 735, 420, 853, 972, 371 is 10766071260.

LCM(735, 420, 853, 972, 371) = 10766071260

LCM of 735, 420, 853, 972, 371

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 735,420,853,972,371

Least Common Multiple (LCM) of 735,420,853,972,371 is 10766071260

2 735, 420, 853, 972, 371
2 735, 210, 853, 486, 371
3 735, 105, 853, 243, 371
5 245, 35, 853, 81, 371
7 49, 7, 853, 81, 371
1, 7, 853, 81, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 7 x 853 x 81 x 53 = 10766071260

Least Common Multiple of 735,420,853,972,371 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 735,420,853,972,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,420,853,972,371) = 1

common factors(in case of two or more numbers have common factors) = 8820

GCF(735,420,853,972,371) x common factors =1 x 8820 = 8820

LCM(735,420,853,972,371) = ( 735 × 420 × 853 × 972 × 371 ) / 8820

LCM(735,420,853,972,371) = 94956748513200 / 8820

LCM(735,420,853,972,371) = 10766071260

∴ Least Common Multiple of 735,420,853,972,371 is 10766071260

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 735, 420, 853, 972, 371

1. What is the LCM of 735, 420, 853, 972, 371?

Answer: LCM of 735, 420, 853, 972, 371 is 10766071260.

2. What are the Factors of 10766071260?

Answer: Factors of 10766071260 are . There are integers that are factors of 10766071260

3. How to Find the LCM of 735, 420, 853, 972, 371 ?

Least Common Multiple of 735, 420, 853, 972, 371.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(735, 420, 853, 972, 371) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 53 x 853 = 10766071260.