Least Common Multiple of 60/129, 7001/2814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/129, 7001/2814 quickly i.e. 140020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/129, 7001/2814 is 140020.

LCM(60/129, 7001/2814) = 140020

LCM of 60/129, 7001/2814

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 60/129,7001/2814

Given numbers are 60/129,7001/2814

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 60,7001

Least Common Multiple of Numerators i.e. LCM of 60,7001 is 420060.

GCF of Denominators means GCF of 129,2814 as per the given fractions.

GCF of 129,2814 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,7001

LCM of Fractions 60/129,7001/2814 is 140020

Given numbers has no common factors except 1. So, there LCM is their product i.e 420060

Least Common Multiple of 60,7001 with GCF Formula

Least Common Multiple of 60,7001 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 60,7001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7001) = 1

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

GCF(60,7001) x common factors =1 x 1 = 1

LCM(60,7001) = ( 60 × 7001 ) / 1

LCM(60,7001) = 420060 / 1

LCM(60,7001) = 420060


Lets's calculate GCF of 129,2814

3 129, 2814
43, 938

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420060/3

Therefore the LCM of Fractions 60/129,7001/2814 is 140020

Greatest Common Factor of 129,2814 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,2814 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

Greatest Common Factor

We found the factors 129,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 129,2814 is 3.


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 60/129, 7001/2814

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 60/129, 7001/2814?

Answer: LCM of Numerators as per given numbers 60/129, 7001/2814 is

LCM of Numerators i.e. for 60,7001 is 420060

GCF of denominators i.e. for 129,2814 is 3.

Thus, LCM of Fractions is 140020.Finally, LCM of Fractions for 60/129, 7001/2814 is 140020.