Least Common Multiple of 40/42, 12/27, 426/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/42, 12/27, 426/357 quickly i.e. 2840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/42, 12/27, 426/357 is 2840.

LCM(40/42, 12/27, 426/357) = 2840

LCM of 40/42, 12/27, 426/357

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 40/42,12/27,426/357

Given numbers are 40/42,12/27,426/357

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 40,12,426

Least Common Multiple of Numerators i.e. LCM of 40,12,426 is 8520.

GCF of Denominators means GCF of 42,27,357 as per the given fractions.

GCF of 42,27,357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,12,426

LCM of Fractions 40/42,12/27,426/357 is 2840

2 40, 12, 426
2 20, 6, 213
3 10, 3, 213
10, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 1 x 71 = 8520

Least Common Multiple of 40,12,426 with GCF Formula

Least Common Multiple of 40,12,426 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 40,12,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,12,426) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(40,12,426) x common factors =2 x 12 = 24

LCM(40,12,426) = ( 40 × 12 × 426 ) / 24

LCM(40,12,426) = 204480 / 24

LCM(40,12,426) = 8520


Lets's calculate GCF of 42,27,357

3 42, 27, 357
14, 9, 119

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8520/3

Therefore the LCM of Fractions 40/42,12/27,426/357 is 2840

Greatest Common Factor of 42,27,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,27,357 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 42,27,357 . The biggest common factor number is the GCF number.
So the greatest common factor 42,27,357 is 3.


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 40/42, 12/27, 426/357

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 40/42, 12/27, 426/357?

Answer: LCM of Numerators as per given numbers 40/42, 12/27, 426/357 is

LCM of Numerators i.e. for 40,12,426 is 8520

GCF of denominators i.e. for 42,27,357 is 3.

Thus, LCM of Fractions is 2840.Finally, LCM of Fractions for 40/42, 12/27, 426/357 is 2840.