Least Common Multiple of 595/136, 6817/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 595/136, 6817/274 quickly i.e. 238595/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/136, 6817/274 is 238595/2.

LCM(595/136, 6817/274) = 238595/2

LCM of 595/136, 6817/274

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 595/136,6817/274

Given numbers are 595/136,6817/274

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 595,6817

Least Common Multiple of Numerators i.e. LCM of 595,6817 is 238595.

GCF of Denominators means GCF of 136,274 as per the given fractions.

GCF of 136,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,6817

LCM of Fractions 595/136,6817/274 is 238595/2

17 595, 6817
35, 401

∴ So the LCM of the given numbers is 17 x 35 x 401 = 238595

Least Common Multiple of 595,6817 with GCF Formula

Least Common Multiple of 595,6817 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 595,6817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,6817) = 17

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

GCF(595,6817) x common factors =17 x 1 = 17

LCM(595,6817) = ( 595 × 6817 ) / 17

LCM(595,6817) = 4056115 / 17

LCM(595,6817) = 238595


Lets's calculate GCF of 136,274

2 136, 274
68, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238595/2

Therefore the LCM of Fractions 595/136,6817/274 is 238595/2

Greatest Common Factor of 136,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,274 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

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

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 136,274 . The biggest common factor number is the GCF number.
So the greatest common factor 136,274 is 2.


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 595/136, 6817/274

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 595/136, 6817/274?

Answer: LCM of Numerators as per given numbers 595/136, 6817/274 is

LCM of Numerators i.e. for 595,6817 is 238595

GCF of denominators i.e. for 136,274 is 2.

Thus, LCM of Fractions is 238595/2.Finally, LCM of Fractions for 595/136, 6817/274 is 238595/2.