Least Common Multiple of 55, 31, 81, 105

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 55, 31, 81, 105 i.e. 966735 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 31, 81, 105 is 966735.

LCM(55, 31, 81, 105) = 966735

LCM of 55, 31, 81, 105

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

LCM of:

Least Common Multiple of 55,31,81,105

Least Common Multiple (LCM) of 55,31,81,105 is 966735

3 55, 31, 81, 105
5 55, 31, 27, 35
11, 31, 27, 7

∴ So the LCM of the given numbers is 3 x 5 x 11 x 31 x 27 x 7 = 966735

Least Common Multiple of 55,31,81,105 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 55,31,81,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,31,81,105) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(55,31,81,105) x common factors =1 x 15 = 15

LCM(55,31,81,105) = ( 55 × 31 × 81 × 105 ) / 15

LCM(55,31,81,105) = 14501025 / 15

LCM(55,31,81,105) = 966735

∴ Least Common Multiple of 55,31,81,105 is 966735

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 31, 81, 105

1. What is the LCM of 55, 31, 81, 105?

Answer: LCM of 55, 31, 81, 105 is 966735.

2. What are the Factors of 966735?

Answer: Factors of 966735 are . There are integers that are factors of 966735

3. How to Find the LCM of 55, 31, 81, 105 ?

Least Common Multiple of 55, 31, 81, 105.

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(55, 31, 81, 105) = 3 x 3 x 3 x 3 x 5 x 7 x 11 x 31 = 966735.