Least Common Multiple of 564/554, 641/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/554, 641/756 quickly i.e. 180762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/554, 641/756 is 180762.

LCM(564/554, 641/756) = 180762

LCM of 564/554, 641/756

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 564/554,641/756

Given numbers are 564/554,641/756

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 564,641

Least Common Multiple of Numerators i.e. LCM of 564,641 is 361524.

GCF of Denominators means GCF of 554,756 as per the given fractions.

GCF of 554,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,641

LCM of Fractions 564/554,641/756 is 180762

Given numbers has no common factors except 1. So, there LCM is their product i.e 361524

Least Common Multiple of 564,641 with GCF Formula

Least Common Multiple of 564,641 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 564,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,641) = 1

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

GCF(564,641) x common factors =1 x 1 = 1

LCM(564,641) = ( 564 × 641 ) / 1

LCM(564,641) = 361524 / 1

LCM(564,641) = 361524


Lets's calculate GCF of 554,756

2 554, 756
277, 378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361524/2

Therefore the LCM of Fractions 564/554,641/756 is 180762

Greatest Common Factor of 554,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,756 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 554,756 . The biggest common factor number is the GCF number.
So the greatest common factor 554,756 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 564/554, 641/756

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 564/554, 641/756?

Answer: LCM of Numerators as per given numbers 564/554, 641/756 is

LCM of Numerators i.e. for 564,641 is 361524

GCF of denominators i.e. for 554,756 is 2.

Thus, LCM of Fractions is 180762.Finally, LCM of Fractions for 564/554, 641/756 is 180762.