Least Common Multiple of 51/341, 908/817, 301/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/341, 908/817, 301/684 quickly i.e. 13938708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/341, 908/817, 301/684 is 13938708.

LCM(51/341, 908/817, 301/684) = 13938708

LCM of 51/341, 908/817, 301/684

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 51/341,908/817,301/684

Given numbers are 51/341,908/817,301/684

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 51,908,301

Least Common Multiple of Numerators i.e. LCM of 51,908,301 is 13938708.

GCF of Denominators means GCF of 341,817,684 as per the given fractions.

GCF of 341,817,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,908,301

LCM of Fractions 51/341,908/817,301/684 is 13938708

Given numbers has no common factors except 1. So, there LCM is their product i.e 13938708

Least Common Multiple of 51,908,301 with GCF Formula

Least Common Multiple of 51,908,301 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 51,908,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,908,301) = 1

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

GCF(51,908,301) x common factors =1 x 1 = 1

LCM(51,908,301) = ( 51 × 908 × 301 ) / 1

LCM(51,908,301) = 13938708 / 1

LCM(51,908,301) = 13938708


Lets's calculate GCF of 341,817,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13938708/1

Therefore the LCM of Fractions 51/341,908/817,301/684 is 13938708

Greatest Common Factor of 341,817,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,817,684 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 341,817,684 . The biggest common factor number is the GCF number.
So the greatest common factor 341,817,684 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 51/341, 908/817, 301/684

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 51/341, 908/817, 301/684?

Answer: LCM of Numerators as per given numbers 51/341, 908/817, 301/684 is

LCM of Numerators i.e. for 51,908,301 is 13938708

GCF of denominators i.e. for 341,817,684 is 1.

Thus, LCM of Fractions is 13938708.Finally, LCM of Fractions for 51/341, 908/817, 301/684 is 13938708.