Least Common Multiple of 728/85, 557/65, 799/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/85, 557/65, 799/772 quickly i.e. 323991304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/85, 557/65, 799/772 is 323991304.

LCM(728/85, 557/65, 799/772) = 323991304

LCM of 728/85, 557/65, 799/772

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 728/85,557/65,799/772

Given numbers are 728/85,557/65,799/772

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 728,557,799

Least Common Multiple of Numerators i.e. LCM of 728,557,799 is 323991304.

GCF of Denominators means GCF of 85,65,772 as per the given fractions.

GCF of 85,65,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,557,799

LCM of Fractions 728/85,557/65,799/772 is 323991304

Given numbers has no common factors except 1. So, there LCM is their product i.e 323991304

Least Common Multiple of 728,557,799 with GCF Formula

Least Common Multiple of 728,557,799 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 728,557,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,557,799) = 1

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

GCF(728,557,799) x common factors =1 x 1 = 1

LCM(728,557,799) = ( 728 × 557 × 799 ) / 1

LCM(728,557,799) = 323991304 / 1

LCM(728,557,799) = 323991304


Lets's calculate GCF of 85,65,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323991304/1

Therefore the LCM of Fractions 728/85,557/65,799/772 is 323991304

Greatest Common Factor of 85,65,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,65,772 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 85,65,772 . The biggest common factor number is the GCF number.
So the greatest common factor 85,65,772 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 728/85, 557/65, 799/772

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 728/85, 557/65, 799/772?

Answer: LCM of Numerators as per given numbers 728/85, 557/65, 799/772 is

LCM of Numerators i.e. for 728,557,799 is 323991304

GCF of denominators i.e. for 85,65,772 is 1.

Thus, LCM of Fractions is 323991304.Finally, LCM of Fractions for 728/85, 557/65, 799/772 is 323991304.