Least Common Multiple of 51/788, 836/266, 593/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/788, 836/266, 593/272 quickly i.e. 12641574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/788, 836/266, 593/272 is 12641574.

LCM(51/788, 836/266, 593/272) = 12641574

LCM of 51/788, 836/266, 593/272

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 51/788,836/266,593/272

Given numbers are 51/788,836/266,593/272

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 51,836,593

Least Common Multiple of Numerators i.e. LCM of 51,836,593 is 25283148.

GCF of Denominators means GCF of 788,266,272 as per the given fractions.

GCF of 788,266,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,836,593

LCM of Fractions 51/788,836/266,593/272 is 12641574

Given numbers has no common factors except 1. So, there LCM is their product i.e 25283148

Least Common Multiple of 51,836,593 with GCF Formula

Least Common Multiple of 51,836,593 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 51,836,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,836,593) = 1

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

GCF(51,836,593) x common factors =1 x 1 = 1

LCM(51,836,593) = ( 51 × 836 × 593 ) / 1

LCM(51,836,593) = 25283148 / 1

LCM(51,836,593) = 25283148


Lets's calculate GCF of 788,266,272

2 788, 266, 272
394, 133, 136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25283148/2

Therefore the LCM of Fractions 51/788,836/266,593/272 is 12641574

Greatest Common Factor of 788,266,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,266,272 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 788,266,272 . The biggest common factor number is the GCF number.
So the greatest common factor 788,266,272 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/788, 836/266, 593/272

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 51/788, 836/266, 593/272?

Answer: LCM of Numerators as per given numbers 51/788, 836/266, 593/272 is

LCM of Numerators i.e. for 51,836,593 is 25283148

GCF of denominators i.e. for 788,266,272 is 2.

Thus, LCM of Fractions is 12641574.Finally, LCM of Fractions for 51/788, 836/266, 593/272 is 12641574.