Least Common Multiple of 16, 40, 21, 747

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 16, 40, 21, 747 i.e. 418320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 40, 21, 747 is 418320.

LCM(16, 40, 21, 747) = 418320

LCM of 16, 40, 21, 747

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

LCM of:

Least Common Multiple of 16,40,21,747

Least Common Multiple (LCM) of 16,40,21,747 is 418320

2 16, 40, 21, 747
2 8, 20, 21, 747
2 4, 10, 21, 747
3 2, 5, 21, 747
2, 5, 7, 249

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 5 x 7 x 249 = 418320

Least Common Multiple of 16,40,21,747 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 16,40,21,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,40,21,747) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,40,21,747) x common factors =1 x 24 = 24

LCM(16,40,21,747) = ( 16 × 40 × 21 × 747 ) / 24

LCM(16,40,21,747) = 10039680 / 24

LCM(16,40,21,747) = 418320

∴ Least Common Multiple of 16,40,21,747 is 418320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 16, 40, 21, 747

1. What is the LCM of 16, 40, 21, 747?

Answer: LCM of 16, 40, 21, 747 is 418320.

2. What are the Factors of 418320?

Answer: Factors of 418320 are . There are integers that are factors of 418320

3. How to Find the LCM of 16, 40, 21, 747 ?

Least Common Multiple of 16, 40, 21, 747.

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(16, 40, 21, 747) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 83 = 418320.