Least Common Multiple of 564/667, 252/285, 364/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/667, 252/285, 364/200 quickly i.e. 153972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/667, 252/285, 364/200 is 153972.

LCM(564/667, 252/285, 364/200) = 153972

LCM of 564/667, 252/285, 364/200

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 564/667,252/285,364/200

Given numbers are 564/667,252/285,364/200

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 564,252,364

Least Common Multiple of Numerators i.e. LCM of 564,252,364 is 153972.

GCF of Denominators means GCF of 667,285,200 as per the given fractions.

GCF of 667,285,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,252,364

LCM of Fractions 564/667,252/285,364/200 is 153972

2 564, 252, 364
2 282, 126, 182
3 141, 63, 91
7 47, 21, 91
47, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 3 x 13 = 153972

Least Common Multiple of 564,252,364 with GCF Formula

Least Common Multiple of 564,252,364 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 564,252,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,252,364) = 4

common factors(in case of two or more numbers have common factors) = 84

GCF(564,252,364) x common factors =4 x 84 = 336

LCM(564,252,364) = ( 564 × 252 × 364 ) / 336

LCM(564,252,364) = 51734592 / 336

LCM(564,252,364) = 153972


Lets's calculate GCF of 667,285,200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153972/1

Therefore the LCM of Fractions 564/667,252/285,364/200 is 153972

Greatest Common Factor of 667,285,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,285,200 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

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

Greatest Common Factor

We found the factors 667,285,200 . The biggest common factor number is the GCF number.
So the greatest common factor 667,285,200 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 564/667, 252/285, 364/200

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 564/667, 252/285, 364/200?

Answer: LCM of Numerators as per given numbers 564/667, 252/285, 364/200 is

LCM of Numerators i.e. for 564,252,364 is 153972

GCF of denominators i.e. for 667,285,200 is 1.

Thus, LCM of Fractions is 153972.Finally, LCM of Fractions for 564/667, 252/285, 364/200 is 153972.