Least Common Multiple of 118/365, 2322/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 118/365, 2322/463 quickly i.e. 136998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 118/365, 2322/463 is 136998.

LCM(118/365, 2322/463) = 136998

LCM of 118/365, 2322/463

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 118/365,2322/463

Given numbers are 118/365,2322/463

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 118,2322

Least Common Multiple of Numerators i.e. LCM of 118,2322 is 136998.

GCF of Denominators means GCF of 365,463 as per the given fractions.

GCF of 365,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 118,2322

LCM of Fractions 118/365,2322/463 is 136998

2 118, 2322
59, 1161

∴ So the LCM of the given numbers is 2 x 59 x 1161 = 136998

Least Common Multiple of 118,2322 with GCF Formula

Least Common Multiple of 118,2322 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 118,2322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,2322) = 2

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

GCF(118,2322) x common factors =2 x 1 = 2

LCM(118,2322) = ( 118 × 2322 ) / 2

LCM(118,2322) = 273996 / 2

LCM(118,2322) = 136998


Lets's calculate GCF of 365,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136998/1

Therefore the LCM of Fractions 118/365,2322/463 is 136998

Greatest Common Factor of 365,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,463 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 365,463 . The biggest common factor number is the GCF number.
So the greatest common factor 365,463 is 1.


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 118/365, 2322/463

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 118/365, 2322/463?

Answer: LCM of Numerators as per given numbers 118/365, 2322/463 is

LCM of Numerators i.e. for 118,2322 is 136998

GCF of denominators i.e. for 365,463 is 1.

Thus, LCM of Fractions is 136998.Finally, LCM of Fractions for 118/365, 2322/463 is 136998.