Least Common Multiple of 87/276, 61/687, 300/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/276, 61/687, 300/400 quickly i.e. 530700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/276, 61/687, 300/400 is 530700.

LCM(87/276, 61/687, 300/400) = 530700

LCM of 87/276, 61/687, 300/400

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 87/276,61/687,300/400

Given numbers are 87/276,61/687,300/400

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 87,61,300

Least Common Multiple of Numerators i.e. LCM of 87,61,300 is 530700.

GCF of Denominators means GCF of 276,687,400 as per the given fractions.

GCF of 276,687,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,61,300

LCM of Fractions 87/276,61/687,300/400 is 530700

3 87, 61, 300
29, 61, 100

∴ So the LCM of the given numbers is 3 x 29 x 61 x 100 = 530700

Least Common Multiple of 87,61,300 with GCF Formula

Least Common Multiple of 87,61,300 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 87,61,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,61,300) = 1

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

GCF(87,61,300) x common factors =1 x 3 = 3

LCM(87,61,300) = ( 87 × 61 × 300 ) / 3

LCM(87,61,300) = 1592100 / 3

LCM(87,61,300) = 530700


Lets's calculate GCF of 276,687,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 530700/1

Therefore the LCM of Fractions 87/276,61/687,300/400 is 530700

Greatest Common Factor of 276,687,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,687,400 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

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 276,687,400 . The biggest common factor number is the GCF number.
So the greatest common factor 276,687,400 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 87/276, 61/687, 300/400

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 87/276, 61/687, 300/400?

Answer: LCM of Numerators as per given numbers 87/276, 61/687, 300/400 is

LCM of Numerators i.e. for 87,61,300 is 530700

GCF of denominators i.e. for 276,687,400 is 1.

Thus, LCM of Fractions is 530700.Finally, LCM of Fractions for 87/276, 61/687, 300/400 is 530700.