Least Common Multiple of 72, 74, 16, 407

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, 74, 16, 407 i.e. 58608 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 74, 16, 407 is 58608.

LCM(72, 74, 16, 407) = 58608

LCM of 72, 74, 16, 407

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

LCM of:

Least Common Multiple of 72,74,16,407

Least Common Multiple (LCM) of 72,74,16,407 is 58608

2 72, 74, 16, 407
2 36, 37, 8, 407
2 18, 37, 4, 407
37 9, 37, 2, 407
9, 1, 2, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 9 x 1 x 2 x 11 = 58608

Least Common Multiple of 72,74,16,407 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 72,74,16,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,74,16,407) = 1

common factors(in case of two or more numbers have common factors) = 592

GCF(72,74,16,407) x common factors =1 x 592 = 592

LCM(72,74,16,407) = ( 72 × 74 × 16 × 407 ) / 592

LCM(72,74,16,407) = 34695936 / 592

LCM(72,74,16,407) = 58608

∴ Least Common Multiple of 72,74,16,407 is 58608

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 74, 16, 407

1. What is the LCM of 72, 74, 16, 407?

Answer: LCM of 72, 74, 16, 407 is 58608.

2. What are the Factors of 58608?

Answer: Factors of 58608 are . There are integers that are factors of 58608

3. How to Find the LCM of 72, 74, 16, 407 ?

Least Common Multiple of 72, 74, 16, 407.

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, 74, 16, 407) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37 = 58608.