Least Common Multiple of 64/188, 44/609, 137/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/188, 44/609, 137/209 quickly i.e. 96448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/188, 44/609, 137/209 is 96448.

LCM(64/188, 44/609, 137/209) = 96448

LCM of 64/188, 44/609, 137/209

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 64/188,44/609,137/209

Given numbers are 64/188,44/609,137/209

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 64,44,137

Least Common Multiple of Numerators i.e. LCM of 64,44,137 is 96448.

GCF of Denominators means GCF of 188,609,209 as per the given fractions.

GCF of 188,609,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,44,137

LCM of Fractions 64/188,44/609,137/209 is 96448

2 64, 44, 137
2 32, 22, 137
16, 11, 137

∴ So the LCM of the given numbers is 2 x 2 x 16 x 11 x 137 = 96448

Least Common Multiple of 64,44,137 with GCF Formula

Least Common Multiple of 64,44,137 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 64,44,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,44,137) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,44,137) x common factors =1 x 4 = 4

LCM(64,44,137) = ( 64 × 44 × 137 ) / 4

LCM(64,44,137) = 385792 / 4

LCM(64,44,137) = 96448


Lets's calculate GCF of 188,609,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96448/1

Therefore the LCM of Fractions 64/188,44/609,137/209 is 96448

Greatest Common Factor of 188,609,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,609,209 By Matching Biggest Common Factor Method

Factors of 188

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

1,2,4,47,94,188

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 188,609,209 . The biggest common factor number is the GCF number.
So the greatest common factor 188,609,209 is 1.


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 64/188, 44/609, 137/209

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 64/188, 44/609, 137/209?

Answer: LCM of Numerators as per given numbers 64/188, 44/609, 137/209 is

LCM of Numerators i.e. for 64,44,137 is 96448

GCF of denominators i.e. for 188,609,209 is 1.

Thus, LCM of Fractions is 96448.Finally, LCM of Fractions for 64/188, 44/609, 137/209 is 96448.