Least Common Multiple of 76/280, 61/557, 246/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/280, 61/557, 246/922 quickly i.e. 570228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/280, 61/557, 246/922 is 570228.

LCM(76/280, 61/557, 246/922) = 570228

LCM of 76/280, 61/557, 246/922

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 76/280,61/557,246/922

Given numbers are 76/280,61/557,246/922

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 76,61,246

Least Common Multiple of Numerators i.e. LCM of 76,61,246 is 570228.

GCF of Denominators means GCF of 280,557,922 as per the given fractions.

GCF of 280,557,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,61,246

LCM of Fractions 76/280,61/557,246/922 is 570228

2 76, 61, 246
38, 61, 123

∴ So the LCM of the given numbers is 2 x 38 x 61 x 123 = 570228

Least Common Multiple of 76,61,246 with GCF Formula

Least Common Multiple of 76,61,246 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 76,61,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,61,246) = 1

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

GCF(76,61,246) x common factors =1 x 2 = 2

LCM(76,61,246) = ( 76 × 61 × 246 ) / 2

LCM(76,61,246) = 1140456 / 2

LCM(76,61,246) = 570228


Lets's calculate GCF of 280,557,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570228/1

Therefore the LCM of Fractions 76/280,61/557,246/922 is 570228

Greatest Common Factor of 280,557,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,557,922 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 280,557,922 . The biggest common factor number is the GCF number.
So the greatest common factor 280,557,922 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 76/280, 61/557, 246/922

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 76/280, 61/557, 246/922?

Answer: LCM of Numerators as per given numbers 76/280, 61/557, 246/922 is

LCM of Numerators i.e. for 76,61,246 is 570228

GCF of denominators i.e. for 280,557,922 is 1.

Thus, LCM of Fractions is 570228.Finally, LCM of Fractions for 76/280, 61/557, 246/922 is 570228.