Least Common Multiple of 49/89, 104/29, 188/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/89, 104/29, 188/660 quickly i.e. 239512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/89, 104/29, 188/660 is 239512.

LCM(49/89, 104/29, 188/660) = 239512

LCM of 49/89, 104/29, 188/660

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 49/89,104/29,188/660

Given numbers are 49/89,104/29,188/660

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 49,104,188

Least Common Multiple of Numerators i.e. LCM of 49,104,188 is 239512.

GCF of Denominators means GCF of 89,29,660 as per the given fractions.

GCF of 89,29,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,104,188

LCM of Fractions 49/89,104/29,188/660 is 239512

2 49, 104, 188
2 49, 52, 94
49, 26, 47

∴ So the LCM of the given numbers is 2 x 2 x 49 x 26 x 47 = 239512

Least Common Multiple of 49,104,188 with GCF Formula

Least Common Multiple of 49,104,188 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 49,104,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,104,188) = 1

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

GCF(49,104,188) x common factors =1 x 4 = 4

LCM(49,104,188) = ( 49 × 104 × 188 ) / 4

LCM(49,104,188) = 958048 / 4

LCM(49,104,188) = 239512


Lets's calculate GCF of 89,29,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239512/1

Therefore the LCM of Fractions 49/89,104/29,188/660 is 239512

Greatest Common Factor of 89,29,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,29,660 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 89,29,660 . The biggest common factor number is the GCF number.
So the greatest common factor 89,29,660 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 49/89, 104/29, 188/660

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 49/89, 104/29, 188/660?

Answer: LCM of Numerators as per given numbers 49/89, 104/29, 188/660 is

LCM of Numerators i.e. for 49,104,188 is 239512

GCF of denominators i.e. for 89,29,660 is 1.

Thus, LCM of Fractions is 239512.Finally, LCM of Fractions for 49/89, 104/29, 188/660 is 239512.