Least Common Multiple of 49/240, 676/86, 142/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/240, 676/86, 142/424 quickly i.e. 1175902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/240, 676/86, 142/424 is 1175902.

LCM(49/240, 676/86, 142/424) = 1175902

LCM of 49/240, 676/86, 142/424

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 49/240,676/86,142/424

Given numbers are 49/240,676/86,142/424

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 49,676,142

Least Common Multiple of Numerators i.e. LCM of 49,676,142 is 2351804.

GCF of Denominators means GCF of 240,86,424 as per the given fractions.

GCF of 240,86,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,676,142

LCM of Fractions 49/240,676/86,142/424 is 1175902

2 49, 676, 142
49, 338, 71

∴ So the LCM of the given numbers is 2 x 49 x 338 x 71 = 2351804

Least Common Multiple of 49,676,142 with GCF Formula

Least Common Multiple of 49,676,142 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 49,676,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,676,142) = 1

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

GCF(49,676,142) x common factors =1 x 2 = 2

LCM(49,676,142) = ( 49 × 676 × 142 ) / 2

LCM(49,676,142) = 4703608 / 2

LCM(49,676,142) = 2351804


Lets's calculate GCF of 240,86,424

2 240, 86, 424
120, 43, 212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2351804/2

Therefore the LCM of Fractions 49/240,676/86,142/424 is 1175902

Greatest Common Factor of 240,86,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,86,424 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 240,86,424 . The biggest common factor number is the GCF number.
So the greatest common factor 240,86,424 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 49/240, 676/86, 142/424

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 49/240, 676/86, 142/424?

Answer: LCM of Numerators as per given numbers 49/240, 676/86, 142/424 is

LCM of Numerators i.e. for 49,676,142 is 2351804

GCF of denominators i.e. for 240,86,424 is 2.

Thus, LCM of Fractions is 1175902.Finally, LCM of Fractions for 49/240, 676/86, 142/424 is 1175902.