Least Common Multiple of 275/11, 968/4954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/11, 968/4954 quickly i.e. 24200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/11, 968/4954 is 24200.

LCM(275/11, 968/4954) = 24200

LCM of 275/11, 968/4954

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 275/11,968/4954

Given numbers are 275/11,968/4954

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 275,968

Least Common Multiple of Numerators i.e. LCM of 275,968 is 24200.

GCF of Denominators means GCF of 11,4954 as per the given fractions.

GCF of 11,4954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,968

LCM of Fractions 275/11,968/4954 is 24200

11 275, 968
25, 88

∴ So the LCM of the given numbers is 11 x 25 x 88 = 24200

Least Common Multiple of 275,968 with GCF Formula

Least Common Multiple of 275,968 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 275,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,968) = 11

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

GCF(275,968) x common factors =11 x 1 = 11

LCM(275,968) = ( 275 × 968 ) / 11

LCM(275,968) = 266200 / 11

LCM(275,968) = 24200


Lets's calculate GCF of 11,4954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24200/1

Therefore the LCM of Fractions 275/11,968/4954 is 24200

Greatest Common Factor of 11,4954 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,4954 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1,2,2477,4954

Greatest Common Factor

We found the factors 11,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 11,4954 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 275/11, 968/4954

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 275/11, 968/4954?

Answer: LCM of Numerators as per given numbers 275/11, 968/4954 is

LCM of Numerators i.e. for 275,968 is 24200

GCF of denominators i.e. for 11,4954 is 1.

Thus, LCM of Fractions is 24200.Finally, LCM of Fractions for 275/11, 968/4954 is 24200.