Least Common Multiple of 54/100, 37/735, 621/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/100, 37/735, 621/574 quickly i.e. 45954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/100, 37/735, 621/574 is 45954.

LCM(54/100, 37/735, 621/574) = 45954

LCM of 54/100, 37/735, 621/574

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 54/100,37/735,621/574

Given numbers are 54/100,37/735,621/574

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 54,37,621

Least Common Multiple of Numerators i.e. LCM of 54,37,621 is 45954.

GCF of Denominators means GCF of 100,735,574 as per the given fractions.

GCF of 100,735,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,37,621

LCM of Fractions 54/100,37/735,621/574 is 45954

3 54, 37, 621
3 18, 37, 207
3 6, 37, 69
2, 37, 23

∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 37 x 23 = 45954

Least Common Multiple of 54,37,621 with GCF Formula

Least Common Multiple of 54,37,621 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 54,37,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,37,621) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(54,37,621) x common factors =1 x 27 = 27

LCM(54,37,621) = ( 54 × 37 × 621 ) / 27

LCM(54,37,621) = 1240758 / 27

LCM(54,37,621) = 45954


Lets's calculate GCF of 100,735,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45954/1

Therefore the LCM of Fractions 54/100,37/735,621/574 is 45954

Greatest Common Factor of 100,735,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,735,574 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 100,735,574 . The biggest common factor number is the GCF number.
So the greatest common factor 100,735,574 is 1.


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 54/100, 37/735, 621/574

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 54/100, 37/735, 621/574?

Answer: LCM of Numerators as per given numbers 54/100, 37/735, 621/574 is

LCM of Numerators i.e. for 54,37,621 is 45954

GCF of denominators i.e. for 100,735,574 is 1.

Thus, LCM of Fractions is 45954.Finally, LCM of Fractions for 54/100, 37/735, 621/574 is 45954.