Least Common Multiple of 528/979, 945/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/979, 945/727 quickly i.e. 166320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/979, 945/727 is 166320.

LCM(528/979, 945/727) = 166320

LCM of 528/979, 945/727

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 528/979,945/727

Given numbers are 528/979,945/727

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 528,945

Least Common Multiple of Numerators i.e. LCM of 528,945 is 166320.

GCF of Denominators means GCF of 979,727 as per the given fractions.

GCF of 979,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,945

LCM of Fractions 528/979,945/727 is 166320

3 528, 945
176, 315

∴ So the LCM of the given numbers is 3 x 176 x 315 = 166320

Least Common Multiple of 528,945 with GCF Formula

Least Common Multiple of 528,945 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 528,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,945) = 3

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

GCF(528,945) x common factors =3 x 1 = 3

LCM(528,945) = ( 528 × 945 ) / 3

LCM(528,945) = 498960 / 3

LCM(528,945) = 166320


Lets's calculate GCF of 979,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166320/1

Therefore the LCM of Fractions 528/979,945/727 is 166320

Greatest Common Factor of 979,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,727 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 979,727 . The biggest common factor number is the GCF number.
So the greatest common factor 979,727 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 528/979, 945/727

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 528/979, 945/727?

Answer: LCM of Numerators as per given numbers 528/979, 945/727 is

LCM of Numerators i.e. for 528,945 is 166320

GCF of denominators i.e. for 979,727 is 1.

Thus, LCM of Fractions is 166320.Finally, LCM of Fractions for 528/979, 945/727 is 166320.