Least Common Multiple of 56/969, 332/120, 844/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/969, 332/120, 844/248 quickly i.e. 980728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/969, 332/120, 844/248 is 980728.

LCM(56/969, 332/120, 844/248) = 980728

LCM of 56/969, 332/120, 844/248

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 56/969,332/120,844/248

Given numbers are 56/969,332/120,844/248

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 56,332,844

Least Common Multiple of Numerators i.e. LCM of 56,332,844 is 980728.

GCF of Denominators means GCF of 969,120,248 as per the given fractions.

GCF of 969,120,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,332,844

LCM of Fractions 56/969,332/120,844/248 is 980728

2 56, 332, 844
2 28, 166, 422
14, 83, 211

∴ So the LCM of the given numbers is 2 x 2 x 14 x 83 x 211 = 980728

Least Common Multiple of 56,332,844 with GCF Formula

Least Common Multiple of 56,332,844 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 56,332,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,332,844) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(56,332,844) x common factors =4 x 4 = 16

LCM(56,332,844) = ( 56 × 332 × 844 ) / 16

LCM(56,332,844) = 15691648 / 16

LCM(56,332,844) = 980728


Lets's calculate GCF of 969,120,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 980728/1

Therefore the LCM of Fractions 56/969,332/120,844/248 is 980728

Greatest Common Factor of 969,120,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,120,248 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

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

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 969,120,248 . The biggest common factor number is the GCF number.
So the greatest common factor 969,120,248 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/969, 332/120, 844/248

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 56/969, 332/120, 844/248?

Answer: LCM of Numerators as per given numbers 56/969, 332/120, 844/248 is

LCM of Numerators i.e. for 56,332,844 is 980728

GCF of denominators i.e. for 969,120,248 is 1.

Thus, LCM of Fractions is 980728.Finally, LCM of Fractions for 56/969, 332/120, 844/248 is 980728.