Least Common Multiple of 40/217, 63/972, 426/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/217, 63/972, 426/940 quickly i.e. 178920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/217, 63/972, 426/940 is 178920.

LCM(40/217, 63/972, 426/940) = 178920

LCM of 40/217, 63/972, 426/940

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 40/217,63/972,426/940

Given numbers are 40/217,63/972,426/940

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 40,63,426

Least Common Multiple of Numerators i.e. LCM of 40,63,426 is 178920.

GCF of Denominators means GCF of 217,972,940 as per the given fractions.

GCF of 217,972,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,63,426

LCM of Fractions 40/217,63/972,426/940 is 178920

2 40, 63, 426
3 20, 63, 213
20, 21, 71

∴ So the LCM of the given numbers is 2 x 3 x 20 x 21 x 71 = 178920

Least Common Multiple of 40,63,426 with GCF Formula

Least Common Multiple of 40,63,426 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 40,63,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,63,426) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(40,63,426) x common factors =1 x 6 = 6

LCM(40,63,426) = ( 40 × 63 × 426 ) / 6

LCM(40,63,426) = 1073520 / 6

LCM(40,63,426) = 178920


Lets's calculate GCF of 217,972,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178920/1

Therefore the LCM of Fractions 40/217,63/972,426/940 is 178920

Greatest Common Factor of 217,972,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,972,940 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 217,972,940 . The biggest common factor number is the GCF number.
So the greatest common factor 217,972,940 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 40/217, 63/972, 426/940

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 40/217, 63/972, 426/940?

Answer: LCM of Numerators as per given numbers 40/217, 63/972, 426/940 is

LCM of Numerators i.e. for 40,63,426 is 178920

GCF of denominators i.e. for 217,972,940 is 1.

Thus, LCM of Fractions is 178920.Finally, LCM of Fractions for 40/217, 63/972, 426/940 is 178920.