Least Common Multiple of 13/149, 9960/3102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/149, 9960/3102 quickly i.e. 129480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/149, 9960/3102 is 129480.

LCM(13/149, 9960/3102) = 129480

LCM of 13/149, 9960/3102

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 13/149,9960/3102

Given numbers are 13/149,9960/3102

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 13,9960

Least Common Multiple of Numerators i.e. LCM of 13,9960 is 129480.

GCF of Denominators means GCF of 149,3102 as per the given fractions.

GCF of 149,3102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,9960

LCM of Fractions 13/149,9960/3102 is 129480

Given numbers has no common factors except 1. So, there LCM is their product i.e 129480

Least Common Multiple of 13,9960 with GCF Formula

Least Common Multiple of 13,9960 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 13,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,9960) = 1

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

GCF(13,9960) x common factors =1 x 1 = 1

LCM(13,9960) = ( 13 × 9960 ) / 1

LCM(13,9960) = 129480 / 1

LCM(13,9960) = 129480


Lets's calculate GCF of 149,3102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129480/1

Therefore the LCM of Fractions 13/149,9960/3102 is 129480

Greatest Common Factor of 149,3102 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,3102 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Greatest Common Factor

We found the factors 149,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 149,3102 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 13/149, 9960/3102

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 13/149, 9960/3102?

Answer: LCM of Numerators as per given numbers 13/149, 9960/3102 is

LCM of Numerators i.e. for 13,9960 is 129480

GCF of denominators i.e. for 149,3102 is 1.

Thus, LCM of Fractions is 129480.Finally, LCM of Fractions for 13/149, 9960/3102 is 129480.