Least Common Multiple of 51/785, 76/102, 831/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/785, 76/102, 831/127 quickly i.e. 1073652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/785, 76/102, 831/127 is 1073652.

LCM(51/785, 76/102, 831/127) = 1073652

LCM of 51/785, 76/102, 831/127

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 51/785,76/102,831/127

Given numbers are 51/785,76/102,831/127

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 51,76,831

Least Common Multiple of Numerators i.e. LCM of 51,76,831 is 1073652.

GCF of Denominators means GCF of 785,102,127 as per the given fractions.

GCF of 785,102,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,76,831

LCM of Fractions 51/785,76/102,831/127 is 1073652

3 51, 76, 831
17, 76, 277

∴ So the LCM of the given numbers is 3 x 17 x 76 x 277 = 1073652

Least Common Multiple of 51,76,831 with GCF Formula

Least Common Multiple of 51,76,831 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 51,76,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,76,831) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,76,831) x common factors =1 x 3 = 3

LCM(51,76,831) = ( 51 × 76 × 831 ) / 3

LCM(51,76,831) = 3220956 / 3

LCM(51,76,831) = 1073652


Lets's calculate GCF of 785,102,127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1073652/1

Therefore the LCM of Fractions 51/785,76/102,831/127 is 1073652

Greatest Common Factor of 785,102,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,102,127 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 785,102,127 . The biggest common factor number is the GCF number.
So the greatest common factor 785,102,127 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 51/785, 76/102, 831/127

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 51/785, 76/102, 831/127?

Answer: LCM of Numerators as per given numbers 51/785, 76/102, 831/127 is

LCM of Numerators i.e. for 51,76,831 is 1073652

GCF of denominators i.e. for 785,102,127 is 1.

Thus, LCM of Fractions is 1073652.Finally, LCM of Fractions for 51/785, 76/102, 831/127 is 1073652.