Least Common Multiple of 31, 66, 22, 960

Q: How to Find the LCM of 31, 66, 22, 960 ?

Least Common Multiple of 31, 66, 22, 960 = 327360 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(31, 66, 22, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 31 = 327360.

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 31, 66, 22, 960 i.e. 327360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 66, 22, 960 is 327360.

LCM(31, 66, 22, 960) = 327360

LCM of 31, 66, 22, 960

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

Least Common Multiple of 31, 66, 22, 960 by common division method
Least Common Multiple of 31, 66, 22, 960 with GCF Formula

Least Common Multiple of 31,66,22,960

Least Common Multiple (LCM) of 31,66,22,960 is 327360

2	31, 66, 22, 960
3	31, 33, 11, 480
11	31, 11, 11, 160
	31, 1, 1, 160

∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 x 1 x 1 x 160 = 327360

Least Common Multiple of 31,66,22,960 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 31,66,22,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,66,22,960) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(31,66,22,960) x common factors =1 x 132 = 132

LCM(31,66,22,960) = ( 31 × 66 × 22 × 960 ) / 132

LCM(31,66,22,960) = 43211520 / 132

LCM(31,66,22,960) = 327360

∴ Least Common Multiple of 31,66,22,960 is 327360

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 31, 66, 22, 960

1. What is the LCM of 31, 66, 22, 960?

Answer: LCM of 31, 66, 22, 960 is 327360.

2. What are the Factors of 327360?

Answer: Factors of 327360 are . There are integers that are factors of 327360

3. How to Find the LCM of 31, 66, 22, 960 ?

Least Common Multiple of 31, 66, 22, 960.

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(31, 66, 22, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 31 = 327360.