Least Common Multiple of 528/57, 432/45, 617/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 528/57, 432/45, 617/885 quickly i.e. 977328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/57, 432/45, 617/885 is 977328.

LCM(528/57, 432/45, 617/885) = 977328

LCM of 528/57, 432/45, 617/885

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 528/57,432/45,617/885

Given numbers are 528/57,432/45,617/885

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 528,432,617

Least Common Multiple of Numerators i.e. LCM of 528,432,617 is 2931984.

GCF of Denominators means GCF of 57,45,885 as per the given fractions.

GCF of 57,45,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,432,617

LCM of Fractions 528/57,432/45,617/885 is 977328

2 528, 432, 617
2 264, 216, 617
2 132, 108, 617
2 66, 54, 617
3 33, 27, 617
11, 9, 617

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 9 x 617 = 2931984

Least Common Multiple of 528,432,617 with GCF Formula

Least Common Multiple of 528,432,617 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 528,432,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,432,617) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(528,432,617) x common factors =1 x 48 = 48

LCM(528,432,617) = ( 528 × 432 × 617 ) / 48

LCM(528,432,617) = 140735232 / 48

LCM(528,432,617) = 2931984


Lets's calculate GCF of 57,45,885

3 57, 45, 885
19, 15, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2931984/3

Therefore the LCM of Fractions 528/57,432/45,617/885 is 977328

Greatest Common Factor of 57,45,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,45,885 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 57,45,885 . The biggest common factor number is the GCF number.
So the greatest common factor 57,45,885 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 528/57, 432/45, 617/885

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 528/57, 432/45, 617/885?

Answer: LCM of Numerators as per given numbers 528/57, 432/45, 617/885 is

LCM of Numerators i.e. for 528,432,617 is 2931984

GCF of denominators i.e. for 57,45,885 is 3.

Thus, LCM of Fractions is 977328.Finally, LCM of Fractions for 528/57, 432/45, 617/885 is 977328.