Least Common Multiple of 648/721, 740/457, 240/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/721, 740/457, 240/920 quickly i.e. 239760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/721, 740/457, 240/920 is 239760.

LCM(648/721, 740/457, 240/920) = 239760

LCM of 648/721, 740/457, 240/920

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 648/721,740/457,240/920

Given numbers are 648/721,740/457,240/920

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 648,740,240

Least Common Multiple of Numerators i.e. LCM of 648,740,240 is 239760.

GCF of Denominators means GCF of 721,457,920 as per the given fractions.

GCF of 721,457,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,740,240

LCM of Fractions 648/721,740/457,240/920 is 239760

2 648, 740, 240
2 324, 370, 120
2 162, 185, 60
3 81, 185, 30
5 27, 185, 10
27, 37, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 27 x 37 x 2 = 239760

Least Common Multiple of 648,740,240 with GCF Formula

Least Common Multiple of 648,740,240 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 648,740,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,740,240) = 4

common factors(in case of two or more numbers have common factors) = 120

GCF(648,740,240) x common factors =4 x 120 = 480

LCM(648,740,240) = ( 648 × 740 × 240 ) / 480

LCM(648,740,240) = 115084800 / 480

LCM(648,740,240) = 239760


Lets's calculate GCF of 721,457,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239760/1

Therefore the LCM of Fractions 648/721,740/457,240/920 is 239760

Greatest Common Factor of 721,457,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,457,920 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 721,457,920 . The biggest common factor number is the GCF number.
So the greatest common factor 721,457,920 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 648/721, 740/457, 240/920

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 648/721, 740/457, 240/920?

Answer: LCM of Numerators as per given numbers 648/721, 740/457, 240/920 is

LCM of Numerators i.e. for 648,740,240 is 239760

GCF of denominators i.e. for 721,457,920 is 1.

Thus, LCM of Fractions is 239760.Finally, LCM of Fractions for 648/721, 740/457, 240/920 is 239760.