Least Common Multiple of 40/358, 5684/2923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/358, 5684/2923 quickly i.e. 56840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/358, 5684/2923 is 56840.

LCM(40/358, 5684/2923) = 56840

LCM of 40/358, 5684/2923

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 40/358,5684/2923

Given numbers are 40/358,5684/2923

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 40,5684

Least Common Multiple of Numerators i.e. LCM of 40,5684 is 56840.

GCF of Denominators means GCF of 358,2923 as per the given fractions.

GCF of 358,2923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,5684

LCM of Fractions 40/358,5684/2923 is 56840

2 40, 5684
2 20, 2842
10, 1421

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1421 = 56840

Least Common Multiple of 40,5684 with GCF Formula

Least Common Multiple of 40,5684 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 40,5684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,5684) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(40,5684) x common factors =4 x 1 = 4

LCM(40,5684) = ( 40 × 5684 ) / 4

LCM(40,5684) = 227360 / 4

LCM(40,5684) = 56840


Lets's calculate GCF of 358,2923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56840/1

Therefore the LCM of Fractions 40/358,5684/2923 is 56840

Greatest Common Factor of 358,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,2923 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1,37,79,2923

Greatest Common Factor

We found the factors 358,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 358,2923 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 40/358, 5684/2923

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 40/358, 5684/2923?

Answer: LCM of Numerators as per given numbers 40/358, 5684/2923 is

LCM of Numerators i.e. for 40,5684 is 56840

GCF of denominators i.e. for 358,2923 is 1.

Thus, LCM of Fractions is 56840.Finally, LCM of Fractions for 40/358, 5684/2923 is 56840.