Least Common Multiple of 20/584, 54/644, 548/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/584, 54/644, 548/758 quickly i.e. 36990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/584, 54/644, 548/758 is 36990.

LCM(20/584, 54/644, 548/758) = 36990

LCM of 20/584, 54/644, 548/758

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 20/584,54/644,548/758

Given numbers are 20/584,54/644,548/758

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 20,54,548

Least Common Multiple of Numerators i.e. LCM of 20,54,548 is 73980.

GCF of Denominators means GCF of 584,644,758 as per the given fractions.

GCF of 584,644,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,54,548

LCM of Fractions 20/584,54/644,548/758 is 36990

2 20, 54, 548
2 10, 27, 274
5, 27, 137

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 137 = 73980

Least Common Multiple of 20,54,548 with GCF Formula

Least Common Multiple of 20,54,548 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 20,54,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,54,548) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,54,548) x common factors =2 x 4 = 8

LCM(20,54,548) = ( 20 × 54 × 548 ) / 8

LCM(20,54,548) = 591840 / 8

LCM(20,54,548) = 73980


Lets's calculate GCF of 584,644,758

2 584, 644, 758
292, 322, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73980/2

Therefore the LCM of Fractions 20/584,54/644,548/758 is 36990

Greatest Common Factor of 584,644,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,644,758 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

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 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 584,644,758 . The biggest common factor number is the GCF number.
So the greatest common factor 584,644,758 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 20/584, 54/644, 548/758

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 20/584, 54/644, 548/758?

Answer: LCM of Numerators as per given numbers 20/584, 54/644, 548/758 is

LCM of Numerators i.e. for 20,54,548 is 73980

GCF of denominators i.e. for 584,644,758 is 2.

Thus, LCM of Fractions is 36990.Finally, LCM of Fractions for 20/584, 54/644, 548/758 is 36990.