Least Common Multiple of 5568/252, 6176/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5568/252, 6176/722 quickly i.e. 537312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5568/252, 6176/722 is 537312.

LCM(5568/252, 6176/722) = 537312

LCM of 5568/252, 6176/722

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 5568/252,6176/722

Given numbers are 5568/252,6176/722

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 5568,6176

Least Common Multiple of Numerators i.e. LCM of 5568,6176 is 1074624.

GCF of Denominators means GCF of 252,722 as per the given fractions.

GCF of 252,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5568,6176

LCM of Fractions 5568/252,6176/722 is 537312

2 5568, 6176
2 2784, 3088
2 1392, 1544
2 696, 772
2 348, 386
174, 193

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 174 x 193 = 1074624

Least Common Multiple of 5568,6176 with GCF Formula

Least Common Multiple of 5568,6176 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 5568,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5568,6176) = 32

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

GCF(5568,6176) x common factors =32 x 1 = 32

LCM(5568,6176) = ( 5568 × 6176 ) / 32

LCM(5568,6176) = 34387968 / 32

LCM(5568,6176) = 1074624


Lets's calculate GCF of 252,722

2 252, 722
126, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074624/2

Therefore the LCM of Fractions 5568/252,6176/722 is 537312

Greatest Common Factor of 252,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,722 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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 252,722 . The biggest common factor number is the GCF number.
So the greatest common factor 252,722 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 5568/252, 6176/722

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 5568/252, 6176/722?

Answer: LCM of Numerators as per given numbers 5568/252, 6176/722 is

LCM of Numerators i.e. for 5568,6176 is 1074624

GCF of denominators i.e. for 252,722 is 2.

Thus, LCM of Fractions is 537312.Finally, LCM of Fractions for 5568/252, 6176/722 is 537312.