Least Common Multiple of 292/842, 5090/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 292/842, 5090/556 quickly i.e. 371570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/842, 5090/556 is 371570.

LCM(292/842, 5090/556) = 371570

LCM of 292/842, 5090/556

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 292/842,5090/556

Given numbers are 292/842,5090/556

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 292,5090

Least Common Multiple of Numerators i.e. LCM of 292,5090 is 743140.

GCF of Denominators means GCF of 842,556 as per the given fractions.

GCF of 842,556 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,5090

LCM of Fractions 292/842,5090/556 is 371570

2 292, 5090
146, 2545

∴ So the LCM of the given numbers is 2 x 146 x 2545 = 743140

Least Common Multiple of 292,5090 with GCF Formula

Least Common Multiple of 292,5090 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 292,5090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,5090) = 2

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

GCF(292,5090) x common factors =2 x 1 = 2

LCM(292,5090) = ( 292 × 5090 ) / 2

LCM(292,5090) = 1486280 / 2

LCM(292,5090) = 743140


Lets's calculate GCF of 842,556

2 842, 556
421, 278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743140/2

Therefore the LCM of Fractions 292/842,5090/556 is 371570

Greatest Common Factor of 842,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,556 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 842,556 . The biggest common factor number is the GCF number.
So the greatest common factor 842,556 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 292/842, 5090/556

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 292/842, 5090/556?

Answer: LCM of Numerators as per given numbers 292/842, 5090/556 is

LCM of Numerators i.e. for 292,5090 is 743140

GCF of denominators i.e. for 842,556 is 2.

Thus, LCM of Fractions is 371570.Finally, LCM of Fractions for 292/842, 5090/556 is 371570.