Least Common Multiple of 51/347, 674/501, 994/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/347, 674/501, 994/260 quickly i.e. 17083878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/347, 674/501, 994/260 is 17083878.

LCM(51/347, 674/501, 994/260) = 17083878

LCM of 51/347, 674/501, 994/260

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 51/347,674/501,994/260

Given numbers are 51/347,674/501,994/260

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 51,674,994

Least Common Multiple of Numerators i.e. LCM of 51,674,994 is 17083878.

GCF of Denominators means GCF of 347,501,260 as per the given fractions.

GCF of 347,501,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,674,994

LCM of Fractions 51/347,674/501,994/260 is 17083878

2 51, 674, 994
51, 337, 497

∴ So the LCM of the given numbers is 2 x 51 x 337 x 497 = 17083878

Least Common Multiple of 51,674,994 with GCF Formula

Least Common Multiple of 51,674,994 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 51,674,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,674,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,674,994) x common factors =1 x 2 = 2

LCM(51,674,994) = ( 51 × 674 × 994 ) / 2

LCM(51,674,994) = 34167756 / 2

LCM(51,674,994) = 17083878


Lets's calculate GCF of 347,501,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17083878/1

Therefore the LCM of Fractions 51/347,674/501,994/260 is 17083878

Greatest Common Factor of 347,501,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,501,260 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 347,501,260 . The biggest common factor number is the GCF number.
So the greatest common factor 347,501,260 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/347, 674/501, 994/260

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 51/347, 674/501, 994/260?

Answer: LCM of Numerators as per given numbers 51/347, 674/501, 994/260 is

LCM of Numerators i.e. for 51,674,994 is 17083878

GCF of denominators i.e. for 347,501,260 is 1.

Thus, LCM of Fractions is 17083878.Finally, LCM of Fractions for 51/347, 674/501, 994/260 is 17083878.