Least Common Multiple of 516/26, 253/46, 628/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/26, 253/46, 628/204 quickly i.e. 10248018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/26, 253/46, 628/204 is 10248018.

LCM(516/26, 253/46, 628/204) = 10248018

LCM of 516/26, 253/46, 628/204

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 516/26,253/46,628/204

Given numbers are 516/26,253/46,628/204

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 516,253,628

Least Common Multiple of Numerators i.e. LCM of 516,253,628 is 20496036.

GCF of Denominators means GCF of 26,46,204 as per the given fractions.

GCF of 26,46,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,253,628

LCM of Fractions 516/26,253/46,628/204 is 10248018

2 516, 253, 628
2 258, 253, 314
129, 253, 157

∴ So the LCM of the given numbers is 2 x 2 x 129 x 253 x 157 = 20496036

Least Common Multiple of 516,253,628 with GCF Formula

Least Common Multiple of 516,253,628 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 516,253,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,253,628) = 1

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

GCF(516,253,628) x common factors =1 x 4 = 4

LCM(516,253,628) = ( 516 × 253 × 628 ) / 4

LCM(516,253,628) = 81984144 / 4

LCM(516,253,628) = 20496036


Lets's calculate GCF of 26,46,204

2 26, 46, 204
13, 23, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20496036/2

Therefore the LCM of Fractions 516/26,253/46,628/204 is 10248018

Greatest Common Factor of 26,46,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,46,204 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 26,46,204 . The biggest common factor number is the GCF number.
So the greatest common factor 26,46,204 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 516/26, 253/46, 628/204

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 516/26, 253/46, 628/204?

Answer: LCM of Numerators as per given numbers 516/26, 253/46, 628/204 is

LCM of Numerators i.e. for 516,253,628 is 20496036

GCF of denominators i.e. for 26,46,204 is 2.

Thus, LCM of Fractions is 10248018.Finally, LCM of Fractions for 516/26, 253/46, 628/204 is 10248018.