Least Common Multiple of 80/72, 49/21, 256/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/72, 49/21, 256/804 quickly i.e. 62720/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/72, 49/21, 256/804 is 62720/3.

LCM(80/72, 49/21, 256/804) = 62720/3

LCM of 80/72, 49/21, 256/804

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 80/72,49/21,256/804

Given numbers are 80/72,49/21,256/804

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 80,49,256

Least Common Multiple of Numerators i.e. LCM of 80,49,256 is 62720.

GCF of Denominators means GCF of 72,21,804 as per the given fractions.

GCF of 72,21,804 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,49,256

LCM of Fractions 80/72,49/21,256/804 is 62720/3

2 80, 49, 256
2 40, 49, 128
2 20, 49, 64
2 10, 49, 32
5, 49, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 49 x 16 = 62720

Least Common Multiple of 80,49,256 with GCF Formula

Least Common Multiple of 80,49,256 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 80,49,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,49,256) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(80,49,256) x common factors =1 x 16 = 16

LCM(80,49,256) = ( 80 × 49 × 256 ) / 16

LCM(80,49,256) = 1003520 / 16

LCM(80,49,256) = 62720


Lets's calculate GCF of 72,21,804

3 72, 21, 804
24, 7, 268

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62720/3

Therefore the LCM of Fractions 80/72,49/21,256/804 is 62720/3

Greatest Common Factor of 72,21,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,21,804 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 72,21,804 . The biggest common factor number is the GCF number.
So the greatest common factor 72,21,804 is 3.


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 80/72, 49/21, 256/804

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 80/72, 49/21, 256/804?

Answer: LCM of Numerators as per given numbers 80/72, 49/21, 256/804 is

LCM of Numerators i.e. for 80,49,256 is 62720

GCF of denominators i.e. for 72,21,804 is 3.

Thus, LCM of Fractions is 62720/3.Finally, LCM of Fractions for 80/72, 49/21, 256/804 is 62720/3.