Least Common Multiple of 87/22, 375/53, 674/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/22, 375/53, 674/861 quickly i.e. 7329750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/22, 375/53, 674/861 is 7329750.

LCM(87/22, 375/53, 674/861) = 7329750

LCM of 87/22, 375/53, 674/861

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 87/22,375/53,674/861

Given numbers are 87/22,375/53,674/861

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 87,375,674

Least Common Multiple of Numerators i.e. LCM of 87,375,674 is 7329750.

GCF of Denominators means GCF of 22,53,861 as per the given fractions.

GCF of 22,53,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,375,674

LCM of Fractions 87/22,375/53,674/861 is 7329750

3 87, 375, 674
29, 125, 674

∴ So the LCM of the given numbers is 3 x 29 x 125 x 674 = 7329750

Least Common Multiple of 87,375,674 with GCF Formula

Least Common Multiple of 87,375,674 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 87,375,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,375,674) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,375,674) x common factors =1 x 3 = 3

LCM(87,375,674) = ( 87 × 375 × 674 ) / 3

LCM(87,375,674) = 21989250 / 3

LCM(87,375,674) = 7329750


Lets's calculate GCF of 22,53,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7329750/1

Therefore the LCM of Fractions 87/22,375/53,674/861 is 7329750

Greatest Common Factor of 22,53,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,53,861 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 22,53,861 . The biggest common factor number is the GCF number.
So the greatest common factor 22,53,861 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 87/22, 375/53, 674/861

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 87/22, 375/53, 674/861?

Answer: LCM of Numerators as per given numbers 87/22, 375/53, 674/861 is

LCM of Numerators i.e. for 87,375,674 is 7329750

GCF of denominators i.e. for 22,53,861 is 1.

Thus, LCM of Fractions is 7329750.Finally, LCM of Fractions for 87/22, 375/53, 674/861 is 7329750.