Least Common Multiple of 52/218, 472/704, 108/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/218, 472/704, 108/402 quickly i.e. 82836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/218, 472/704, 108/402 is 82836.

LCM(52/218, 472/704, 108/402) = 82836

LCM of 52/218, 472/704, 108/402

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 52/218,472/704,108/402

Given numbers are 52/218,472/704,108/402

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 52,472,108

Least Common Multiple of Numerators i.e. LCM of 52,472,108 is 165672.

GCF of Denominators means GCF of 218,704,402 as per the given fractions.

GCF of 218,704,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,472,108

LCM of Fractions 52/218,472/704,108/402 is 82836

2 52, 472, 108
2 26, 236, 54
13, 118, 27

∴ So the LCM of the given numbers is 2 x 2 x 13 x 118 x 27 = 165672

Least Common Multiple of 52,472,108 with GCF Formula

Least Common Multiple of 52,472,108 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 52,472,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,472,108) = 4

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

GCF(52,472,108) x common factors =4 x 4 = 16

LCM(52,472,108) = ( 52 × 472 × 108 ) / 16

LCM(52,472,108) = 2650752 / 16

LCM(52,472,108) = 165672


Lets's calculate GCF of 218,704,402

2 218, 704, 402
109, 352, 201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165672/2

Therefore the LCM of Fractions 52/218,472/704,108/402 is 82836

Greatest Common Factor of 218,704,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,704,402 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 218,704,402 . The biggest common factor number is the GCF number.
So the greatest common factor 218,704,402 is 2.


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 52/218, 472/704, 108/402

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 52/218, 472/704, 108/402?

Answer: LCM of Numerators as per given numbers 52/218, 472/704, 108/402 is

LCM of Numerators i.e. for 52,472,108 is 165672

GCF of denominators i.e. for 218,704,402 is 2.

Thus, LCM of Fractions is 82836.Finally, LCM of Fractions for 52/218, 472/704, 108/402 is 82836.