Least Common Multiple of 253/50, 648/8738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 253/50, 648/8738 quickly i.e. 81972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/50, 648/8738 is 81972.

LCM(253/50, 648/8738) = 81972

LCM of 253/50, 648/8738

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 253/50,648/8738

Given numbers are 253/50,648/8738

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 253,648

Least Common Multiple of Numerators i.e. LCM of 253,648 is 163944.

GCF of Denominators means GCF of 50,8738 as per the given fractions.

GCF of 50,8738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,648

LCM of Fractions 253/50,648/8738 is 81972

Given numbers has no common factors except 1. So, there LCM is their product i.e 163944

Least Common Multiple of 253,648 with GCF Formula

Least Common Multiple of 253,648 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 253,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,648) = 1

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

GCF(253,648) x common factors =1 x 1 = 1

LCM(253,648) = ( 253 × 648 ) / 1

LCM(253,648) = 163944 / 1

LCM(253,648) = 163944


Lets's calculate GCF of 50,8738

2 50, 8738
25, 4369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163944/2

Therefore the LCM of Fractions 253/50,648/8738 is 81972

Greatest Common Factor of 50,8738 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,8738 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

Greatest Common Factor

We found the factors 50,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 50,8738 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 253/50, 648/8738

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 253/50, 648/8738?

Answer: LCM of Numerators as per given numbers 253/50, 648/8738 is

LCM of Numerators i.e. for 253,648 is 163944

GCF of denominators i.e. for 50,8738 is 2.

Thus, LCM of Fractions is 81972.Finally, LCM of Fractions for 253/50, 648/8738 is 81972.