Least Common Multiple of 139/522, 642/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 139/522, 642/338 quickly i.e. 44619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 139/522, 642/338 is 44619.

LCM(139/522, 642/338) = 44619

LCM of 139/522, 642/338

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 139/522,642/338

Given numbers are 139/522,642/338

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 139,642

Least Common Multiple of Numerators i.e. LCM of 139,642 is 89238.

GCF of Denominators means GCF of 522,338 as per the given fractions.

GCF of 522,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 139,642

LCM of Fractions 139/522,642/338 is 44619

Given numbers has no common factors except 1. So, there LCM is their product i.e 89238

Least Common Multiple of 139,642 with GCF Formula

Least Common Multiple of 139,642 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 139,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,642) = 1

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

GCF(139,642) x common factors =1 x 1 = 1

LCM(139,642) = ( 139 × 642 ) / 1

LCM(139,642) = 89238 / 1

LCM(139,642) = 89238


Lets's calculate GCF of 522,338

2 522, 338
261, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89238/2

Therefore the LCM of Fractions 139/522,642/338 is 44619

Greatest Common Factor of 522,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,338 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 522,338 . The biggest common factor number is the GCF number.
So the greatest common factor 522,338 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 139/522, 642/338

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 139/522, 642/338?

Answer: LCM of Numerators as per given numbers 139/522, 642/338 is

LCM of Numerators i.e. for 139,642 is 89238

GCF of denominators i.e. for 522,338 is 2.

Thus, LCM of Fractions is 44619.Finally, LCM of Fractions for 139/522, 642/338 is 44619.