Least Common Multiple of 72/880, 935/632, 821/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/880, 935/632, 821/460 quickly i.e. 13817430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/880, 935/632, 821/460 is 13817430.

LCM(72/880, 935/632, 821/460) = 13817430

LCM of 72/880, 935/632, 821/460

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 72/880,935/632,821/460

Given numbers are 72/880,935/632,821/460

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 72,935,821

Least Common Multiple of Numerators i.e. LCM of 72,935,821 is 55269720.

GCF of Denominators means GCF of 880,632,460 as per the given fractions.

GCF of 880,632,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,935,821

LCM of Fractions 72/880,935/632,821/460 is 13817430

Given numbers has no common factors except 1. So, there LCM is their product i.e 55269720

Least Common Multiple of 72,935,821 with GCF Formula

Least Common Multiple of 72,935,821 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 72,935,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,935,821) = 1

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

GCF(72,935,821) x common factors =1 x 1 = 1

LCM(72,935,821) = ( 72 × 935 × 821 ) / 1

LCM(72,935,821) = 55269720 / 1

LCM(72,935,821) = 55269720


Lets's calculate GCF of 880,632,460

2 880, 632, 460
2 440, 316, 230
220, 158, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55269720/4

Therefore the LCM of Fractions 72/880,935/632,821/460 is 13817430

Greatest Common Factor of 880,632,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,632,460 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 880,632,460 . The biggest common factor number is the GCF number.
So the greatest common factor 880,632,460 is 4.


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 72/880, 935/632, 821/460

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 72/880, 935/632, 821/460?

Answer: LCM of Numerators as per given numbers 72/880, 935/632, 821/460 is

LCM of Numerators i.e. for 72,935,821 is 55269720

GCF of denominators i.e. for 880,632,460 is 4.

Thus, LCM of Fractions is 13817430.Finally, LCM of Fractions for 72/880, 935/632, 821/460 is 13817430.