Least Common Multiple of 136/456, 2356/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/456, 2356/418 quickly i.e. 2108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/456, 2356/418 is 2108.

LCM(136/456, 2356/418) = 2108

LCM of 136/456, 2356/418

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 136/456,2356/418

Given numbers are 136/456,2356/418

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 136,2356

Least Common Multiple of Numerators i.e. LCM of 136,2356 is 80104.

GCF of Denominators means GCF of 456,418 as per the given fractions.

GCF of 456,418 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,2356

LCM of Fractions 136/456,2356/418 is 2108

2 136, 2356
2 68, 1178
34, 589

∴ So the LCM of the given numbers is 2 x 2 x 34 x 589 = 80104

Least Common Multiple of 136,2356 with GCF Formula

Least Common Multiple of 136,2356 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 136,2356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,2356) = 4

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

GCF(136,2356) x common factors =4 x 1 = 4

LCM(136,2356) = ( 136 × 2356 ) / 4

LCM(136,2356) = 320416 / 4

LCM(136,2356) = 80104


Lets's calculate GCF of 456,418

2 456, 418
19 228, 209
12, 11

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80104/38

Therefore the LCM of Fractions 136/456,2356/418 is 2108

Greatest Common Factor of 456,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,418 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 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 456,418 . The biggest common factor number is the GCF number.
So the greatest common factor 456,418 is 38.


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 136/456, 2356/418

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 136/456, 2356/418?

Answer: LCM of Numerators as per given numbers 136/456, 2356/418 is

LCM of Numerators i.e. for 136,2356 is 80104

GCF of denominators i.e. for 456,418 is 38.

Thus, LCM of Fractions is 2108.Finally, LCM of Fractions for 136/456, 2356/418 is 2108.