Least Common Multiple of 28/621, 88/783, 258/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/621, 88/783, 258/531 quickly i.e. 79464/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/621, 88/783, 258/531 is 79464/9.

LCM(28/621, 88/783, 258/531) = 79464/9

LCM of 28/621, 88/783, 258/531

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 28/621,88/783,258/531

Given numbers are 28/621,88/783,258/531

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 28,88,258

Least Common Multiple of Numerators i.e. LCM of 28,88,258 is 79464.

GCF of Denominators means GCF of 621,783,531 as per the given fractions.

GCF of 621,783,531 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,88,258

LCM of Fractions 28/621,88/783,258/531 is 79464/9

2 28, 88, 258
2 14, 44, 129
7, 22, 129

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 129 = 79464

Least Common Multiple of 28,88,258 with GCF Formula

Least Common Multiple of 28,88,258 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 28,88,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,88,258) = 2

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

GCF(28,88,258) x common factors =2 x 4 = 8

LCM(28,88,258) = ( 28 × 88 × 258 ) / 8

LCM(28,88,258) = 635712 / 8

LCM(28,88,258) = 79464


Lets's calculate GCF of 621,783,531

3 621, 783, 531
3 207, 261, 177
69, 87, 59

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79464/9

Therefore the LCM of Fractions 28/621,88/783,258/531 is 79464/9

Greatest Common Factor of 621,783,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,783,531 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 621,783,531 . The biggest common factor number is the GCF number.
So the greatest common factor 621,783,531 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/621, 88/783, 258/531

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 28/621, 88/783, 258/531?

Answer: LCM of Numerators as per given numbers 28/621, 88/783, 258/531 is

LCM of Numerators i.e. for 28,88,258 is 79464

GCF of denominators i.e. for 621,783,531 is 9.

Thus, LCM of Fractions is 79464/9.Finally, LCM of Fractions for 28/621, 88/783, 258/531 is 79464/9.