Least Common Multiple of 1289/150, 9140/5152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1289/150, 9140/5152 quickly i.e. 5890730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1289/150, 9140/5152 is 5890730.

LCM(1289/150, 9140/5152) = 5890730

LCM of 1289/150, 9140/5152

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 1289/150,9140/5152

Given numbers are 1289/150,9140/5152

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 1289,9140

Least Common Multiple of Numerators i.e. LCM of 1289,9140 is 11781460.

GCF of Denominators means GCF of 150,5152 as per the given fractions.

GCF of 150,5152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1289,9140

LCM of Fractions 1289/150,9140/5152 is 5890730

Given numbers has no common factors except 1. So, there LCM is their product i.e 11781460

Least Common Multiple of 1289,9140 with GCF Formula

Least Common Multiple of 1289,9140 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 1289,9140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1289,9140) = 1

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

GCF(1289,9140) x common factors =1 x 1 = 1

LCM(1289,9140) = ( 1289 × 9140 ) / 1

LCM(1289,9140) = 11781460 / 1

LCM(1289,9140) = 11781460


Lets's calculate GCF of 150,5152

2 150, 5152
75, 2576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11781460/2

Therefore the LCM of Fractions 1289/150,9140/5152 is 5890730

Greatest Common Factor of 150,5152 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,5152 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Greatest Common Factor

We found the factors 150,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 150,5152 is 2.


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 1289/150, 9140/5152

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 1289/150, 9140/5152?

Answer: LCM of Numerators as per given numbers 1289/150, 9140/5152 is

LCM of Numerators i.e. for 1289,9140 is 11781460

GCF of denominators i.e. for 150,5152 is 2.

Thus, LCM of Fractions is 5890730.Finally, LCM of Fractions for 1289/150, 9140/5152 is 5890730.