Least Common Multiple of 32, 21, 315, 749

Q: How to Find the LCM of 32, 21, 315, 749 ?

Least Common Multiple of 32, 21, 315, 749 = 1078560 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(32, 21, 315, 749) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 107 = 1078560.

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 32, 21, 315, 749 i.e. 1078560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 32, 21, 315, 749 is 1078560.

LCM(32, 21, 315, 749) = 1078560

LCM of 32, 21, 315, 749

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

Least Common Multiple of 32, 21, 315, 749 by common division method
Least Common Multiple of 32, 21, 315, 749 with GCF Formula

Least Common Multiple of 32,21,315,749

Least Common Multiple (LCM) of 32,21,315,749 is 1078560

3	32, 21, 315, 749
7	32, 7, 105, 749
	32, 1, 15, 107

∴ So the LCM of the given numbers is 3 x 7 x 32 x 1 x 15 x 107 = 1078560

Least Common Multiple of 32,21,315,749 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 32,21,315,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,21,315,749) = 1

common factors(in case of two or more numbers have common factors) = 147

GCF(32,21,315,749) x common factors =1 x 147 = 147

LCM(32,21,315,749) = ( 32 × 21 × 315 × 749 ) / 147

LCM(32,21,315,749) = 158548320 / 147

LCM(32,21,315,749) = 1078560

∴ Least Common Multiple of 32,21,315,749 is 1078560

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 32, 21, 315, 749

1. What is the LCM of 32, 21, 315, 749?

Answer: LCM of 32, 21, 315, 749 is 1078560.

2. What are the Factors of 1078560?

Answer: Factors of 1078560 are . There are integers that are factors of 1078560

3. How to Find the LCM of 32, 21, 315, 749 ?

Least Common Multiple of 32, 21, 315, 749.

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(32, 21, 315, 749) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 107 = 1078560.