Least Common Multiple of 42/22, 540/80, 414/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/22, 540/80, 414/983 quickly i.e. 86940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/22, 540/80, 414/983 is 86940.

LCM(42/22, 540/80, 414/983) = 86940

LCM of 42/22, 540/80, 414/983

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 42/22,540/80,414/983

Given numbers are 42/22,540/80,414/983

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 42,540,414

Least Common Multiple of Numerators i.e. LCM of 42,540,414 is 86940.

GCF of Denominators means GCF of 22,80,983 as per the given fractions.

GCF of 22,80,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,540,414

LCM of Fractions 42/22,540/80,414/983 is 86940

2 42, 540, 414
3 21, 270, 207
3 7, 90, 69
7, 30, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 30 x 23 = 86940

Least Common Multiple of 42,540,414 with GCF Formula

Least Common Multiple of 42,540,414 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 42,540,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,540,414) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(42,540,414) x common factors =6 x 18 = 108

LCM(42,540,414) = ( 42 × 540 × 414 ) / 108

LCM(42,540,414) = 9389520 / 108

LCM(42,540,414) = 86940


Lets's calculate GCF of 22,80,983

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86940/1

Therefore the LCM of Fractions 42/22,540/80,414/983 is 86940

Greatest Common Factor of 22,80,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,80,983 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 22,80,983 . The biggest common factor number is the GCF number.
So the greatest common factor 22,80,983 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 42/22, 540/80, 414/983

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 42/22, 540/80, 414/983?

Answer: LCM of Numerators as per given numbers 42/22, 540/80, 414/983 is

LCM of Numerators i.e. for 42,540,414 is 86940

GCF of denominators i.e. for 22,80,983 is 1.

Thus, LCM of Fractions is 86940.Finally, LCM of Fractions for 42/22, 540/80, 414/983 is 86940.