Least Common Multiple of 943/144, 500/253, 883/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 943/144, 500/253, 883/980 quickly i.e. 416334500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 943/144, 500/253, 883/980 is 416334500.

LCM(943/144, 500/253, 883/980) = 416334500

LCM of 943/144, 500/253, 883/980

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 943/144,500/253,883/980

Given numbers are 943/144,500/253,883/980

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 943,500,883

Least Common Multiple of Numerators i.e. LCM of 943,500,883 is 416334500.

GCF of Denominators means GCF of 144,253,980 as per the given fractions.

GCF of 144,253,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 943,500,883

LCM of Fractions 943/144,500/253,883/980 is 416334500

Given numbers has no common factors except 1. So, there LCM is their product i.e 416334500

Least Common Multiple of 943,500,883 with GCF Formula

Least Common Multiple of 943,500,883 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 943,500,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,500,883) = 1

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

GCF(943,500,883) x common factors =1 x 1 = 1

LCM(943,500,883) = ( 943 × 500 × 883 ) / 1

LCM(943,500,883) = 416334500 / 1

LCM(943,500,883) = 416334500


Lets's calculate GCF of 144,253,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416334500/1

Therefore the LCM of Fractions 943/144,500/253,883/980 is 416334500

Greatest Common Factor of 144,253,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,253,980 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 144,253,980 . The biggest common factor number is the GCF number.
So the greatest common factor 144,253,980 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 943/144, 500/253, 883/980

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 943/144, 500/253, 883/980?

Answer: LCM of Numerators as per given numbers 943/144, 500/253, 883/980 is

LCM of Numerators i.e. for 943,500,883 is 416334500

GCF of denominators i.e. for 144,253,980 is 1.

Thus, LCM of Fractions is 416334500.Finally, LCM of Fractions for 943/144, 500/253, 883/980 is 416334500.