Least Common Multiple of 237/387, 251/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 237/387, 251/975 quickly i.e. 19829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/387, 251/975 is 19829.

LCM(237/387, 251/975) = 19829

LCM of 237/387, 251/975

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 237/387,251/975

Given numbers are 237/387,251/975

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 237,251

Least Common Multiple of Numerators i.e. LCM of 237,251 is 59487.

GCF of Denominators means GCF of 387,975 as per the given fractions.

GCF of 387,975 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,251

LCM of Fractions 237/387,251/975 is 19829

Given numbers has no common factors except 1. So, there LCM is their product i.e 59487

Least Common Multiple of 237,251 with GCF Formula

Least Common Multiple of 237,251 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 237,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,251) = 1

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

GCF(237,251) x common factors =1 x 1 = 1

LCM(237,251) = ( 237 × 251 ) / 1

LCM(237,251) = 59487 / 1

LCM(237,251) = 59487


Lets's calculate GCF of 387,975

3 387, 975
129, 325

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59487/3

Therefore the LCM of Fractions 237/387,251/975 is 19829

Greatest Common Factor of 387,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,975 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 387,975 . The biggest common factor number is the GCF number.
So the greatest common factor 387,975 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 237/387, 251/975

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 237/387, 251/975?

Answer: LCM of Numerators as per given numbers 237/387, 251/975 is

LCM of Numerators i.e. for 237,251 is 59487

GCF of denominators i.e. for 387,975 is 3.

Thus, LCM of Fractions is 19829.Finally, LCM of Fractions for 237/387, 251/975 is 19829.