Least Common Multiple of 236/456, 430/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 236/456, 430/118 quickly i.e. 25370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/456, 430/118 is 25370.

LCM(236/456, 430/118) = 25370

LCM of 236/456, 430/118

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 236/456,430/118

Given numbers are 236/456,430/118

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 236,430

Least Common Multiple of Numerators i.e. LCM of 236,430 is 50740.

GCF of Denominators means GCF of 456,118 as per the given fractions.

GCF of 456,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,430

LCM of Fractions 236/456,430/118 is 25370

2 236, 430
118, 215

∴ So the LCM of the given numbers is 2 x 118 x 215 = 50740

Least Common Multiple of 236,430 with GCF Formula

Least Common Multiple of 236,430 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 236,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,430) = 2

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

GCF(236,430) x common factors =2 x 1 = 2

LCM(236,430) = ( 236 × 430 ) / 2

LCM(236,430) = 101480 / 2

LCM(236,430) = 50740


Lets's calculate GCF of 456,118

2 456, 118
228, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50740/2

Therefore the LCM of Fractions 236/456,430/118 is 25370

Greatest Common Factor of 456,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,118 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 456,118 . The biggest common factor number is the GCF number.
So the greatest common factor 456,118 is 2.


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 236/456, 430/118

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 236/456, 430/118?

Answer: LCM of Numerators as per given numbers 236/456, 430/118 is

LCM of Numerators i.e. for 236,430 is 50740

GCF of denominators i.e. for 456,118 is 2.

Thus, LCM of Fractions is 25370.Finally, LCM of Fractions for 236/456, 430/118 is 25370.