Least Common Multiple of 76/63, 87/28, 874/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/63, 87/28, 874/400 quickly i.e. 152076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/63, 87/28, 874/400 is 152076.

LCM(76/63, 87/28, 874/400) = 152076

LCM of 76/63, 87/28, 874/400

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 76/63,87/28,874/400

Given numbers are 76/63,87/28,874/400

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 76,87,874

Least Common Multiple of Numerators i.e. LCM of 76,87,874 is 152076.

GCF of Denominators means GCF of 63,28,400 as per the given fractions.

GCF of 63,28,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,87,874

LCM of Fractions 76/63,87/28,874/400 is 152076

2 76, 87, 874
19 38, 87, 437
2, 87, 23

∴ So the LCM of the given numbers is 2 x 19 x 2 x 87 x 23 = 152076

Least Common Multiple of 76,87,874 with GCF Formula

Least Common Multiple of 76,87,874 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 76,87,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,874) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(76,87,874) x common factors =1 x 38 = 38

LCM(76,87,874) = ( 76 × 87 × 874 ) / 38

LCM(76,87,874) = 5778888 / 38

LCM(76,87,874) = 152076


Lets's calculate GCF of 63,28,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152076/1

Therefore the LCM of Fractions 76/63,87/28,874/400 is 152076

Greatest Common Factor of 63,28,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,28,400 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 63,28,400 . The biggest common factor number is the GCF number.
So the greatest common factor 63,28,400 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 76/63, 87/28, 874/400

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 76/63, 87/28, 874/400?

Answer: LCM of Numerators as per given numbers 76/63, 87/28, 874/400 is

LCM of Numerators i.e. for 76,87,874 is 152076

GCF of denominators i.e. for 63,28,400 is 1.

Thus, LCM of Fractions is 152076.Finally, LCM of Fractions for 76/63, 87/28, 874/400 is 152076.