Least Common Multiple of 36/138, 970/242, 279/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/138, 970/242, 279/684 quickly i.e. 270630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/138, 970/242, 279/684 is 270630.

LCM(36/138, 970/242, 279/684) = 270630

LCM of 36/138, 970/242, 279/684

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 36/138,970/242,279/684

Given numbers are 36/138,970/242,279/684

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 36,970,279

Least Common Multiple of Numerators i.e. LCM of 36,970,279 is 541260.

GCF of Denominators means GCF of 138,242,684 as per the given fractions.

GCF of 138,242,684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,970,279

LCM of Fractions 36/138,970/242,279/684 is 270630

2 36, 970, 279
3 18, 485, 279
3 6, 485, 93
2, 485, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 485 x 31 = 541260

Least Common Multiple of 36,970,279 with GCF Formula

Least Common Multiple of 36,970,279 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 36,970,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,970,279) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,970,279) x common factors =1 x 18 = 18

LCM(36,970,279) = ( 36 × 970 × 279 ) / 18

LCM(36,970,279) = 9742680 / 18

LCM(36,970,279) = 541260


Lets's calculate GCF of 138,242,684

2 138, 242, 684
69, 121, 342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541260/2

Therefore the LCM of Fractions 36/138,970/242,279/684 is 270630

Greatest Common Factor of 138,242,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,242,684 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 138,242,684 . The biggest common factor number is the GCF number.
So the greatest common factor 138,242,684 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 36/138, 970/242, 279/684

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 36/138, 970/242, 279/684?

Answer: LCM of Numerators as per given numbers 36/138, 970/242, 279/684 is

LCM of Numerators i.e. for 36,970,279 is 541260

GCF of denominators i.e. for 138,242,684 is 2.

Thus, LCM of Fractions is 270630.Finally, LCM of Fractions for 36/138, 970/242, 279/684 is 270630.