Least Common Multiple of 706, 504, 72

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 706, 504, 72 i.e. 177912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 706, 504, 72 is 177912.

LCM(706, 504, 72) = 177912

LCM of 706, 504, 72

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

LCM of:

Least Common Multiple of 706,504,72

Least Common Multiple (LCM) of 706,504,72 is 177912

2 706, 504, 72
2 353, 252, 36
2 353, 126, 18
3 353, 63, 9
3 353, 21, 3
353, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 353 x 7 x 1 = 177912

Least Common Multiple of 706,504,72 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 706,504,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,504,72) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(706,504,72) x common factors =2 x 72 = 144

LCM(706,504,72) = ( 706 × 504 × 72 ) / 144

LCM(706,504,72) = 25619328 / 144

LCM(706,504,72) = 177912

∴ Least Common Multiple of 706,504,72 is 177912

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 706, 504, 72

1. What is the LCM of 706, 504, 72?

Answer: LCM of 706, 504, 72 is 177912.

2. What are the Factors of 177912?

Answer: Factors of 177912 are . There are integers that are factors of 177912

3. How to Find the LCM of 706, 504, 72 ?

Least Common Multiple of 706, 504, 72.

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(706, 504, 72) = 2 x 2 x 2 x 3 x 3 x 7 x 353 = 177912.