Least Common Multiple of 91, 68, 34, 140

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 91, 68, 34, 140 i.e. 30940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 91, 68, 34, 140 is 30940.

LCM(91, 68, 34, 140) = 30940

LCM of 91, 68, 34, 140

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

LCM of:

Least Common Multiple of 91,68,34,140

Least Common Multiple (LCM) of 91,68,34,140 is 30940

2 91, 68, 34, 140
2 91, 34, 17, 70
7 91, 17, 17, 35
17 13, 17, 17, 5
13, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 13 x 1 x 1 x 5 = 30940

Least Common Multiple of 91,68,34,140 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 91,68,34,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,68,34,140) = 1

common factors(in case of two or more numbers have common factors) = 952

GCF(91,68,34,140) x common factors =1 x 952 = 952

LCM(91,68,34,140) = ( 91 × 68 × 34 × 140 ) / 952

LCM(91,68,34,140) = 29454880 / 952

LCM(91,68,34,140) = 30940

∴ Least Common Multiple of 91,68,34,140 is 30940

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 91, 68, 34, 140

1. What is the LCM of 91, 68, 34, 140?

Answer: LCM of 91, 68, 34, 140 is 30940.

2. What are the Factors of 30940?

Answer: Factors of 30940 are . There are integers that are factors of 30940

3. How to Find the LCM of 91, 68, 34, 140 ?

Least Common Multiple of 91, 68, 34, 140.

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(91, 68, 34, 140) = 2 x 2 x 5 x 7 x 13 x 17 = 30940.