Least Common Multiple of 68/92, 821/79, 256/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/92, 821/79, 256/722 quickly i.e. 3572992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/92, 821/79, 256/722 is 3572992.

LCM(68/92, 821/79, 256/722) = 3572992

LCM of 68/92, 821/79, 256/722

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 68/92,821/79,256/722

Given numbers are 68/92,821/79,256/722

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 68,821,256

Least Common Multiple of Numerators i.e. LCM of 68,821,256 is 3572992.

GCF of Denominators means GCF of 92,79,722 as per the given fractions.

GCF of 92,79,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,821,256

LCM of Fractions 68/92,821/79,256/722 is 3572992

2 68, 821, 256
2 34, 821, 128
17, 821, 64

∴ So the LCM of the given numbers is 2 x 2 x 17 x 821 x 64 = 3572992

Least Common Multiple of 68,821,256 with GCF Formula

Least Common Multiple of 68,821,256 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 68,821,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,821,256) = 1

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

GCF(68,821,256) x common factors =1 x 4 = 4

LCM(68,821,256) = ( 68 × 821 × 256 ) / 4

LCM(68,821,256) = 14291968 / 4

LCM(68,821,256) = 3572992


Lets's calculate GCF of 92,79,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3572992/1

Therefore the LCM of Fractions 68/92,821/79,256/722 is 3572992

Greatest Common Factor of 92,79,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,79,722 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 92,79,722 . The biggest common factor number is the GCF number.
So the greatest common factor 92,79,722 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 68/92, 821/79, 256/722

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 68/92, 821/79, 256/722?

Answer: LCM of Numerators as per given numbers 68/92, 821/79, 256/722 is

LCM of Numerators i.e. for 68,821,256 is 3572992

GCF of denominators i.e. for 92,79,722 is 1.

Thus, LCM of Fractions is 3572992.Finally, LCM of Fractions for 68/92, 821/79, 256/722 is 3572992.