Least Common Multiple of 136/20, 8440/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/20, 8440/188 quickly i.e. 35870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/20, 8440/188 is 35870.

LCM(136/20, 8440/188) = 35870

LCM of 136/20, 8440/188

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 136/20,8440/188

Given numbers are 136/20,8440/188

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 136,8440

Least Common Multiple of Numerators i.e. LCM of 136,8440 is 143480.

GCF of Denominators means GCF of 20,188 as per the given fractions.

GCF of 20,188 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,8440

LCM of Fractions 136/20,8440/188 is 35870

2 136, 8440
2 68, 4220
2 34, 2110
17, 1055

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1055 = 143480

Least Common Multiple of 136,8440 with GCF Formula

Least Common Multiple of 136,8440 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 136,8440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,8440) = 8

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

GCF(136,8440) x common factors =8 x 1 = 8

LCM(136,8440) = ( 136 × 8440 ) / 8

LCM(136,8440) = 1147840 / 8

LCM(136,8440) = 143480


Lets's calculate GCF of 20,188

2 20, 188
2 10, 94
5, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143480/4

Therefore the LCM of Fractions 136/20,8440/188 is 35870

Greatest Common Factor of 20,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,188 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 20,188 . The biggest common factor number is the GCF number.
So the greatest common factor 20,188 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 136/20, 8440/188

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 136/20, 8440/188?

Answer: LCM of Numerators as per given numbers 136/20, 8440/188 is

LCM of Numerators i.e. for 136,8440 is 143480

GCF of denominators i.e. for 20,188 is 4.

Thus, LCM of Fractions is 35870.Finally, LCM of Fractions for 136/20, 8440/188 is 35870.