Least Common Multiple of 72, 26, 48, 742

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, 26, 48, 742 i.e. 694512 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 26, 48, 742 is 694512.

LCM(72, 26, 48, 742) = 694512

LCM of 72, 26, 48, 742

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

LCM of:

Least Common Multiple of 72,26,48,742

Least Common Multiple (LCM) of 72,26,48,742 is 694512

2 72, 26, 48, 742
2 36, 13, 24, 371
2 18, 13, 12, 371
3 9, 13, 6, 371
3, 13, 2, 371

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 2 x 371 = 694512

Least Common Multiple of 72,26,48,742 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 72,26,48,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,26,48,742) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(72,26,48,742) x common factors =2 x 48 = 96

LCM(72,26,48,742) = ( 72 × 26 × 48 × 742 ) / 96

LCM(72,26,48,742) = 66673152 / 96

LCM(72,26,48,742) = 694512

∴ Least Common Multiple of 72,26,48,742 is 694512

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 26, 48, 742

1. What is the LCM of 72, 26, 48, 742?

Answer: LCM of 72, 26, 48, 742 is 694512.

2. What are the Factors of 694512?

Answer: Factors of 694512 are . There are integers that are factors of 694512

3. How to Find the LCM of 72, 26, 48, 742 ?

Least Common Multiple of 72, 26, 48, 742.

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, 26, 48, 742) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 53 = 694512.