Least Common Multiple of 752/231, 7263/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 752/231, 7263/238 quickly i.e. 5461776/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/231, 7263/238 is 5461776/7.

LCM(752/231, 7263/238) = 5461776/7

LCM of 752/231, 7263/238

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 752/231,7263/238

Given numbers are 752/231,7263/238

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 752,7263

Least Common Multiple of Numerators i.e. LCM of 752,7263 is 5461776.

GCF of Denominators means GCF of 231,238 as per the given fractions.

GCF of 231,238 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,7263

LCM of Fractions 752/231,7263/238 is 5461776/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 5461776

Least Common Multiple of 752,7263 with GCF Formula

Least Common Multiple of 752,7263 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 752,7263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,7263) = 1

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

GCF(752,7263) x common factors =1 x 1 = 1

LCM(752,7263) = ( 752 × 7263 ) / 1

LCM(752,7263) = 5461776 / 1

LCM(752,7263) = 5461776


Lets's calculate GCF of 231,238

7 231, 238
33, 34

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5461776/7

Therefore the LCM of Fractions 752/231,7263/238 is 5461776/7

Greatest Common Factor of 231,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,238 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 231,238 . The biggest common factor number is the GCF number.
So the greatest common factor 231,238 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 752/231, 7263/238

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 752/231, 7263/238?

Answer: LCM of Numerators as per given numbers 752/231, 7263/238 is

LCM of Numerators i.e. for 752,7263 is 5461776

GCF of denominators i.e. for 231,238 is 7.

Thus, LCM of Fractions is 5461776/7.Finally, LCM of Fractions for 752/231, 7263/238 is 5461776/7.