Least Common Multiple of 300/108, 6137/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/108, 6137/344 quickly i.e. 460275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/108, 6137/344 is 460275.

LCM(300/108, 6137/344) = 460275

LCM of 300/108, 6137/344

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 300/108,6137/344

Given numbers are 300/108,6137/344

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 300,6137

Least Common Multiple of Numerators i.e. LCM of 300,6137 is 1841100.

GCF of Denominators means GCF of 108,344 as per the given fractions.

GCF of 108,344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,6137

LCM of Fractions 300/108,6137/344 is 460275

Given numbers has no common factors except 1. So, there LCM is their product i.e 1841100

Least Common Multiple of 300,6137 with GCF Formula

Least Common Multiple of 300,6137 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 300,6137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,6137) = 1

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

GCF(300,6137) x common factors =1 x 1 = 1

LCM(300,6137) = ( 300 × 6137 ) / 1

LCM(300,6137) = 1841100 / 1

LCM(300,6137) = 1841100


Lets's calculate GCF of 108,344

2 108, 344
2 54, 172
27, 86

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1841100/4

Therefore the LCM of Fractions 300/108,6137/344 is 460275

Greatest Common Factor of 108,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,344 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 108,344 . The biggest common factor number is the GCF number.
So the greatest common factor 108,344 is 4.


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 300/108, 6137/344

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 300/108, 6137/344?

Answer: LCM of Numerators as per given numbers 300/108, 6137/344 is

LCM of Numerators i.e. for 300,6137 is 1841100

GCF of denominators i.e. for 108,344 is 4.

Thus, LCM of Fractions is 460275.Finally, LCM of Fractions for 300/108, 6137/344 is 460275.