Least Common Multiple of 563/76, 660/25, 737/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 563/76, 660/25, 737/621 quickly i.e. 24895860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/76, 660/25, 737/621 is 24895860.

LCM(563/76, 660/25, 737/621) = 24895860

LCM of 563/76, 660/25, 737/621

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 563/76,660/25,737/621

Given numbers are 563/76,660/25,737/621

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 563,660,737

Least Common Multiple of Numerators i.e. LCM of 563,660,737 is 24895860.

GCF of Denominators means GCF of 76,25,621 as per the given fractions.

GCF of 76,25,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,660,737

LCM of Fractions 563/76,660/25,737/621 is 24895860

11 563, 660, 737
563, 60, 67

∴ So the LCM of the given numbers is 11 x 563 x 60 x 67 = 24895860

Least Common Multiple of 563,660,737 with GCF Formula

Least Common Multiple of 563,660,737 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 563,660,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,660,737) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(563,660,737) x common factors =1 x 11 = 11

LCM(563,660,737) = ( 563 × 660 × 737 ) / 11

LCM(563,660,737) = 273854460 / 11

LCM(563,660,737) = 24895860


Lets's calculate GCF of 76,25,621

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24895860/1

Therefore the LCM of Fractions 563/76,660/25,737/621 is 24895860

Greatest Common Factor of 76,25,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,25,621 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 76,25,621 . The biggest common factor number is the GCF number.
So the greatest common factor 76,25,621 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 563/76, 660/25, 737/621

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 563/76, 660/25, 737/621?

Answer: LCM of Numerators as per given numbers 563/76, 660/25, 737/621 is

LCM of Numerators i.e. for 563,660,737 is 24895860

GCF of denominators i.e. for 76,25,621 is 1.

Thus, LCM of Fractions is 24895860.Finally, LCM of Fractions for 563/76, 660/25, 737/621 is 24895860.