Least Common Multiple of 52/432, 71/164, 868/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/432, 71/164, 868/700 quickly i.e. 200291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/432, 71/164, 868/700 is 200291.

LCM(52/432, 71/164, 868/700) = 200291

LCM of 52/432, 71/164, 868/700

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 52/432,71/164,868/700

Given numbers are 52/432,71/164,868/700

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 52,71,868

Least Common Multiple of Numerators i.e. LCM of 52,71,868 is 801164.

GCF of Denominators means GCF of 432,164,700 as per the given fractions.

GCF of 432,164,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,71,868

LCM of Fractions 52/432,71/164,868/700 is 200291

2 52, 71, 868
2 26, 71, 434
13, 71, 217

∴ So the LCM of the given numbers is 2 x 2 x 13 x 71 x 217 = 801164

Least Common Multiple of 52,71,868 with GCF Formula

Least Common Multiple of 52,71,868 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 52,71,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,71,868) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,71,868) x common factors =1 x 4 = 4

LCM(52,71,868) = ( 52 × 71 × 868 ) / 4

LCM(52,71,868) = 3204656 / 4

LCM(52,71,868) = 801164


Lets's calculate GCF of 432,164,700

2 432, 164, 700
2 216, 82, 350
108, 41, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 801164/4

Therefore the LCM of Fractions 52/432,71/164,868/700 is 200291

Greatest Common Factor of 432,164,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,164,700 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 432,164,700 . The biggest common factor number is the GCF number.
So the greatest common factor 432,164,700 is 4.


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 52/432, 71/164, 868/700

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 52/432, 71/164, 868/700?

Answer: LCM of Numerators as per given numbers 52/432, 71/164, 868/700 is

LCM of Numerators i.e. for 52,71,868 is 801164

GCF of denominators i.e. for 432,164,700 is 4.

Thus, LCM of Fractions is 200291.Finally, LCM of Fractions for 52/432, 71/164, 868/700 is 200291.