Least Common Multiple of 87/629, 8211/4084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/629, 8211/4084 quickly i.e. 238119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/629, 8211/4084 is 238119.

LCM(87/629, 8211/4084) = 238119

LCM of 87/629, 8211/4084

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 87/629,8211/4084

Given numbers are 87/629,8211/4084

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 87,8211

Least Common Multiple of Numerators i.e. LCM of 87,8211 is 238119.

GCF of Denominators means GCF of 629,4084 as per the given fractions.

GCF of 629,4084 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,8211

LCM of Fractions 87/629,8211/4084 is 238119

3 87, 8211
29, 2737

∴ So the LCM of the given numbers is 3 x 29 x 2737 = 238119

Least Common Multiple of 87,8211 with GCF Formula

Least Common Multiple of 87,8211 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 87,8211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,8211) = 3

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

GCF(87,8211) x common factors =3 x 1 = 3

LCM(87,8211) = ( 87 × 8211 ) / 3

LCM(87,8211) = 714357 / 3

LCM(87,8211) = 238119


Lets's calculate GCF of 629,4084

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238119/1

Therefore the LCM of Fractions 87/629,8211/4084 is 238119

Greatest Common Factor of 629,4084 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,4084 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1,2,4,1021,2042,4084

Greatest Common Factor

We found the factors 629,4084 . The biggest common factor number is the GCF number.
So the greatest common factor 629,4084 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/629, 8211/4084

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 87/629, 8211/4084?

Answer: LCM of Numerators as per given numbers 87/629, 8211/4084 is

LCM of Numerators i.e. for 87,8211 is 238119

GCF of denominators i.e. for 629,4084 is 1.

Thus, LCM of Fractions is 238119.Finally, LCM of Fractions for 87/629, 8211/4084 is 238119.