Least Common Multiple of 8/13, 60/44, 950/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/13, 60/44, 950/36 quickly i.e. 11400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/13, 60/44, 950/36 is 11400.

LCM(8/13, 60/44, 950/36) = 11400

LCM of 8/13, 60/44, 950/36

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 8/13,60/44,950/36

Given numbers are 8/13,60/44,950/36

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 8,60,950

Least Common Multiple of Numerators i.e. LCM of 8,60,950 is 11400.

GCF of Denominators means GCF of 13,44,36 as per the given fractions.

GCF of 13,44,36 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,60,950

LCM of Fractions 8/13,60/44,950/36 is 11400

2 8, 60, 950
2 4, 30, 475
5 2, 15, 475
2, 3, 95

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 3 x 95 = 11400

Least Common Multiple of 8,60,950 with GCF Formula

Least Common Multiple of 8,60,950 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 8,60,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,60,950) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(8,60,950) x common factors =2 x 20 = 40

LCM(8,60,950) = ( 8 × 60 × 950 ) / 40

LCM(8,60,950) = 456000 / 40

LCM(8,60,950) = 11400


Lets's calculate GCF of 13,44,36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11400/1

Therefore the LCM of Fractions 8/13,60/44,950/36 is 11400

Greatest Common Factor of 13,44,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,44,36 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 13,44,36 . The biggest common factor number is the GCF number.
So the greatest common factor 13,44,36 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 8/13, 60/44, 950/36

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 8/13, 60/44, 950/36?

Answer: LCM of Numerators as per given numbers 8/13, 60/44, 950/36 is

LCM of Numerators i.e. for 8,60,950 is 11400

GCF of denominators i.e. for 13,44,36 is 1.

Thus, LCM of Fractions is 11400.Finally, LCM of Fractions for 8/13, 60/44, 950/36 is 11400.