Least Common Multiple of 51/669, 81/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/669, 81/928 quickly i.e. 1377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/669, 81/928 is 1377.

LCM(51/669, 81/928) = 1377

LCM of 51/669, 81/928

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 51/669,81/928

Given numbers are 51/669,81/928

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 51,81

Least Common Multiple of Numerators i.e. LCM of 51,81 is 1377.

GCF of Denominators means GCF of 669,928 as per the given fractions.

GCF of 669,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,81

LCM of Fractions 51/669,81/928 is 1377

3 51, 81
17, 27

∴ So the LCM of the given numbers is 3 x 17 x 27 = 1377

Least Common Multiple of 51,81 with GCF Formula

Least Common Multiple of 51,81 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 51,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,81) = 3

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

GCF(51,81) x common factors =3 x 1 = 3

LCM(51,81) = ( 51 × 81 ) / 3

LCM(51,81) = 4131 / 3

LCM(51,81) = 1377


Lets's calculate GCF of 669,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1377/1

Therefore the LCM of Fractions 51/669,81/928 is 1377

Greatest Common Factor of 669,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,928 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 669,928 . The biggest common factor number is the GCF number.
So the greatest common factor 669,928 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/669, 81/928

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 51/669, 81/928?

Answer: LCM of Numerators as per given numbers 51/669, 81/928 is

LCM of Numerators i.e. for 51,81 is 1377

GCF of denominators i.e. for 669,928 is 1.

Thus, LCM of Fractions is 1377.Finally, LCM of Fractions for 51/669, 81/928 is 1377.