Least Common Multiple of 344/252, 513/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/252, 513/644 quickly i.e. 176472/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/252, 513/644 is 176472/28.

LCM(344/252, 513/644) = 176472/28

LCM of 344/252, 513/644

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 344/252,513/644

Given numbers are 344/252,513/644

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 344,513

Least Common Multiple of Numerators i.e. LCM of 344,513 is 176472.

GCF of Denominators means GCF of 252,644 as per the given fractions.

GCF of 252,644 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,513

LCM of Fractions 344/252,513/644 is 176472/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 176472

Least Common Multiple of 344,513 with GCF Formula

Least Common Multiple of 344,513 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 344,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,513) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(344,513) x common factors =1 x 1 = 1

LCM(344,513) = ( 344 × 513 ) / 1

LCM(344,513) = 176472 / 1

LCM(344,513) = 176472


Lets's calculate GCF of 252,644

2 252, 644
2 126, 322
7 63, 161
9, 23

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176472/28

Therefore the LCM of Fractions 344/252,513/644 is 176472/28

Greatest Common Factor of 252,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,644 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 252,644 . The biggest common factor number is the GCF number.
So the greatest common factor 252,644 is 28.


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 344/252, 513/644

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 344/252, 513/644?

Answer: LCM of Numerators as per given numbers 344/252, 513/644 is

LCM of Numerators i.e. for 344,513 is 176472

GCF of denominators i.e. for 252,644 is 28.

Thus, LCM of Fractions is 176472/28.Finally, LCM of Fractions for 344/252, 513/644 is 176472/28.