Least Common Multiple of 44/131, 68/830, 187/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/131, 68/830, 187/213 quickly i.e. 748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/131, 68/830, 187/213 is 748.

LCM(44/131, 68/830, 187/213) = 748

LCM of 44/131, 68/830, 187/213

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 44/131,68/830,187/213

Given numbers are 44/131,68/830,187/213

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 44,68,187

Least Common Multiple of Numerators i.e. LCM of 44,68,187 is 748.

GCF of Denominators means GCF of 131,830,213 as per the given fractions.

GCF of 131,830,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,68,187

LCM of Fractions 44/131,68/830,187/213 is 748

2 44, 68, 187
2 22, 34, 187
11 11, 17, 187
17 1, 17, 17
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 1 x 1 x 1 = 748

Least Common Multiple of 44,68,187 with GCF Formula

Least Common Multiple of 44,68,187 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 44,68,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,187) = 1

common factors(in case of two or more numbers have common factors) = 748

GCF(44,68,187) x common factors =1 x 748 = 748

LCM(44,68,187) = ( 44 × 68 × 187 ) / 748

LCM(44,68,187) = 559504 / 748

LCM(44,68,187) = 748


Lets's calculate GCF of 131,830,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748/1

Therefore the LCM of Fractions 44/131,68/830,187/213 is 748

Greatest Common Factor of 131,830,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,830,213 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 131,830,213 . The biggest common factor number is the GCF number.
So the greatest common factor 131,830,213 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 44/131, 68/830, 187/213

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 44/131, 68/830, 187/213?

Answer: LCM of Numerators as per given numbers 44/131, 68/830, 187/213 is

LCM of Numerators i.e. for 44,68,187 is 748

GCF of denominators i.e. for 131,830,213 is 1.

Thus, LCM of Fractions is 748.Finally, LCM of Fractions for 44/131, 68/830, 187/213 is 748.