Least Common Multiple of 5656/644, 1766/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5656/644, 1766/752 quickly i.e. 1248562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5656/644, 1766/752 is 1248562.

LCM(5656/644, 1766/752) = 1248562

LCM of 5656/644, 1766/752

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 5656/644,1766/752

Given numbers are 5656/644,1766/752

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 5656,1766

Least Common Multiple of Numerators i.e. LCM of 5656,1766 is 4994248.

GCF of Denominators means GCF of 644,752 as per the given fractions.

GCF of 644,752 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5656,1766

LCM of Fractions 5656/644,1766/752 is 1248562

2 5656, 1766
2828, 883

∴ So the LCM of the given numbers is 2 x 2828 x 883 = 4994248

Least Common Multiple of 5656,1766 with GCF Formula

Least Common Multiple of 5656,1766 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 5656,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5656,1766) = 2

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

GCF(5656,1766) x common factors =2 x 1 = 2

LCM(5656,1766) = ( 5656 × 1766 ) / 2

LCM(5656,1766) = 9988496 / 2

LCM(5656,1766) = 4994248


Lets's calculate GCF of 644,752

2 644, 752
2 322, 376
161, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4994248/4

Therefore the LCM of Fractions 5656/644,1766/752 is 1248562

Greatest Common Factor of 644,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,752 By Matching Biggest Common Factor Method

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

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 644,752 . The biggest common factor number is the GCF number.
So the greatest common factor 644,752 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5656/644, 1766/752

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 5656/644, 1766/752?

Answer: LCM of Numerators as per given numbers 5656/644, 1766/752 is

LCM of Numerators i.e. for 5656,1766 is 4994248

GCF of denominators i.e. for 644,752 is 4.

Thus, LCM of Fractions is 1248562.Finally, LCM of Fractions for 5656/644, 1766/752 is 1248562.