Least Common Multiple of 672/40, 271/58, 694/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/40, 271/58, 694/428 quickly i.e. 31596432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/40, 271/58, 694/428 is 31596432.

LCM(672/40, 271/58, 694/428) = 31596432

LCM of 672/40, 271/58, 694/428

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 672/40,271/58,694/428

Given numbers are 672/40,271/58,694/428

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 672,271,694

Least Common Multiple of Numerators i.e. LCM of 672,271,694 is 63192864.

GCF of Denominators means GCF of 40,58,428 as per the given fractions.

GCF of 40,58,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,271,694

LCM of Fractions 672/40,271/58,694/428 is 31596432

2 672, 271, 694
336, 271, 347

∴ So the LCM of the given numbers is 2 x 336 x 271 x 347 = 63192864

Least Common Multiple of 672,271,694 with GCF Formula

Least Common Multiple of 672,271,694 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 672,271,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,271,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(672,271,694) x common factors =1 x 2 = 2

LCM(672,271,694) = ( 672 × 271 × 694 ) / 2

LCM(672,271,694) = 126385728 / 2

LCM(672,271,694) = 63192864


Lets's calculate GCF of 40,58,428

2 40, 58, 428
20, 29, 214

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63192864/2

Therefore the LCM of Fractions 672/40,271/58,694/428 is 31596432

Greatest Common Factor of 40,58,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,58,428 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 40,58,428 . The biggest common factor number is the GCF number.
So the greatest common factor 40,58,428 is 2.


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 672/40, 271/58, 694/428

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 672/40, 271/58, 694/428?

Answer: LCM of Numerators as per given numbers 672/40, 271/58, 694/428 is

LCM of Numerators i.e. for 672,271,694 is 63192864

GCF of denominators i.e. for 40,58,428 is 2.

Thus, LCM of Fractions is 31596432.Finally, LCM of Fractions for 672/40, 271/58, 694/428 is 31596432.