Least Common Multiple of 72, 261, 735

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 72, 261, 735 i.e. 511560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 261, 735 is 511560.

LCM(72, 261, 735) = 511560

LCM of 72, 261, 735

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

LCM of:

Least Common Multiple of 72,261,735

Least Common Multiple (LCM) of 72,261,735 is 511560

3 72, 261, 735
3 24, 87, 245
8, 29, 245

∴ So the LCM of the given numbers is 3 x 3 x 8 x 29 x 245 = 511560

Least Common Multiple of 72,261,735 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 72,261,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,261,735) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(72,261,735) x common factors =3 x 9 = 27

LCM(72,261,735) = ( 72 × 261 × 735 ) / 27

LCM(72,261,735) = 13812120 / 27

LCM(72,261,735) = 511560

∴ Least Common Multiple of 72,261,735 is 511560

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 72, 261, 735

1. What is the LCM of 72, 261, 735?

Answer: LCM of 72, 261, 735 is 511560.

2. What are the Factors of 511560?

Answer: Factors of 511560 are . There are integers that are factors of 511560

3. How to Find the LCM of 72, 261, 735 ?

Least Common Multiple of 72, 261, 735.

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(72, 261, 735) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 29 = 511560.