Least Common Multiple of 14, 32, 55, 968

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 14, 32, 55, 968 i.e. 135520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 14, 32, 55, 968 is 135520.

LCM(14, 32, 55, 968) = 135520

LCM of 14, 32, 55, 968

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

LCM of:

Least Common Multiple of 14,32,55,968

Least Common Multiple (LCM) of 14,32,55,968 is 135520

2 14, 32, 55, 968
2 7, 16, 55, 484
2 7, 8, 55, 242
11 7, 4, 55, 121
7, 4, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 4 x 5 x 11 = 135520

Least Common Multiple of 14,32,55,968 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 14,32,55,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,32,55,968) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(14,32,55,968) x common factors =1 x 176 = 176

LCM(14,32,55,968) = ( 14 × 32 × 55 × 968 ) / 176

LCM(14,32,55,968) = 23851520 / 176

LCM(14,32,55,968) = 135520

∴ Least Common Multiple of 14,32,55,968 is 135520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 14, 32, 55, 968

1. What is the LCM of 14, 32, 55, 968?

Answer: LCM of 14, 32, 55, 968 is 135520.

2. What are the Factors of 135520?

Answer: Factors of 135520 are . There are integers that are factors of 135520

3. How to Find the LCM of 14, 32, 55, 968 ?

Least Common Multiple of 14, 32, 55, 968.

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(14, 32, 55, 968) = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 11 = 135520.