Least Common Multiple of 87/428, 6231/9275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/428, 6231/9275 quickly i.e. 180699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/428, 6231/9275 is 180699.

LCM(87/428, 6231/9275) = 180699

LCM of 87/428, 6231/9275

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 87/428,6231/9275

Given numbers are 87/428,6231/9275

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 87,6231

Least Common Multiple of Numerators i.e. LCM of 87,6231 is 180699.

GCF of Denominators means GCF of 428,9275 as per the given fractions.

GCF of 428,9275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,6231

LCM of Fractions 87/428,6231/9275 is 180699

3 87, 6231
29, 2077

∴ So the LCM of the given numbers is 3 x 29 x 2077 = 180699

Least Common Multiple of 87,6231 with GCF Formula

Least Common Multiple of 87,6231 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 87,6231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,6231) = 3

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

GCF(87,6231) x common factors =3 x 1 = 3

LCM(87,6231) = ( 87 × 6231 ) / 3

LCM(87,6231) = 542097 / 3

LCM(87,6231) = 180699


Lets's calculate GCF of 428,9275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180699/1

Therefore the LCM of Fractions 87/428,6231/9275 is 180699

Greatest Common Factor of 428,9275 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,9275 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 9275

List of positive integer factors of 9275 that divides 9275 without a remainder.

1,5,7,25,35,53,175,265,371,1325,1855,9275

Greatest Common Factor

We found the factors 428,9275 . The biggest common factor number is the GCF number.
So the greatest common factor 428,9275 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 87/428, 6231/9275

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 87/428, 6231/9275?

Answer: LCM of Numerators as per given numbers 87/428, 6231/9275 is

LCM of Numerators i.e. for 87,6231 is 180699

GCF of denominators i.e. for 428,9275 is 1.

Thus, LCM of Fractions is 180699.Finally, LCM of Fractions for 87/428, 6231/9275 is 180699.