Least Common Multiple of 36/531, 76/400, 285/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/531, 76/400, 285/677 quickly i.e. 3420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/531, 76/400, 285/677 is 3420.

LCM(36/531, 76/400, 285/677) = 3420

LCM of 36/531, 76/400, 285/677

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 36/531,76/400,285/677

Given numbers are 36/531,76/400,285/677

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 36,76,285

Least Common Multiple of Numerators i.e. LCM of 36,76,285 is 3420.

GCF of Denominators means GCF of 531,400,677 as per the given fractions.

GCF of 531,400,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,76,285

LCM of Fractions 36/531,76/400,285/677 is 3420

2 36, 76, 285
2 18, 38, 285
3 9, 19, 285
19 3, 19, 95
3, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 1 x 5 = 3420

Least Common Multiple of 36,76,285 with GCF Formula

Least Common Multiple of 36,76,285 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 36,76,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,76,285) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(36,76,285) x common factors =1 x 228 = 228

LCM(36,76,285) = ( 36 × 76 × 285 ) / 228

LCM(36,76,285) = 779760 / 228

LCM(36,76,285) = 3420


Lets's calculate GCF of 531,400,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3420/1

Therefore the LCM of Fractions 36/531,76/400,285/677 is 3420

Greatest Common Factor of 531,400,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,400,677 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

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

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 531,400,677 . The biggest common factor number is the GCF number.
So the greatest common factor 531,400,677 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 36/531, 76/400, 285/677

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 36/531, 76/400, 285/677?

Answer: LCM of Numerators as per given numbers 36/531, 76/400, 285/677 is

LCM of Numerators i.e. for 36,76,285 is 3420

GCF of denominators i.e. for 531,400,677 is 1.

Thus, LCM of Fractions is 3420.Finally, LCM of Fractions for 36/531, 76/400, 285/677 is 3420.