Least Common Multiple of 248/52, 976/4468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 248/52, 976/4468 quickly i.e. 7564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 248/52, 976/4468 is 7564.

LCM(248/52, 976/4468) = 7564

LCM of 248/52, 976/4468

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 248/52,976/4468

Given numbers are 248/52,976/4468

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 248,976

Least Common Multiple of Numerators i.e. LCM of 248,976 is 30256.

GCF of Denominators means GCF of 52,4468 as per the given fractions.

GCF of 52,4468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 248,976

LCM of Fractions 248/52,976/4468 is 7564

2 248, 976
2 124, 488
2 62, 244
31, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 122 = 30256

Least Common Multiple of 248,976 with GCF Formula

Least Common Multiple of 248,976 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 248,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,976) = 8

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

GCF(248,976) x common factors =8 x 1 = 8

LCM(248,976) = ( 248 × 976 ) / 8

LCM(248,976) = 242048 / 8

LCM(248,976) = 30256


Lets's calculate GCF of 52,4468

2 52, 4468
2 26, 2234
13, 1117

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30256/4

Therefore the LCM of Fractions 248/52,976/4468 is 7564

Greatest Common Factor of 52,4468 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4468 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4468

List of positive integer factors of 4468 that divides 4468 without a remainder.

1,2,4,1117,2234,4468

Greatest Common Factor

We found the factors 52,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4468 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 248/52, 976/4468

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 248/52, 976/4468?

Answer: LCM of Numerators as per given numbers 248/52, 976/4468 is

LCM of Numerators i.e. for 248,976 is 30256

GCF of denominators i.e. for 52,4468 is 4.

Thus, LCM of Fractions is 7564.Finally, LCM of Fractions for 248/52, 976/4468 is 7564.