Least Common Multiple of 7138/966, 2015/5980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7138/966, 2015/5980 quickly i.e. 14383070/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7138/966, 2015/5980 is 14383070/46.

LCM(7138/966, 2015/5980) = 14383070/46

LCM of 7138/966, 2015/5980

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 7138/966,2015/5980

Given numbers are 7138/966,2015/5980

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 7138,2015

Least Common Multiple of Numerators i.e. LCM of 7138,2015 is 14383070.

GCF of Denominators means GCF of 966,5980 as per the given fractions.

GCF of 966,5980 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7138,2015

LCM of Fractions 7138/966,2015/5980 is 14383070/46

Given numbers has no common factors except 1. So, there LCM is their product i.e 14383070

Least Common Multiple of 7138,2015 with GCF Formula

Least Common Multiple of 7138,2015 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 7138,2015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7138,2015) = 1

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

GCF(7138,2015) x common factors =1 x 1 = 1

LCM(7138,2015) = ( 7138 × 2015 ) / 1

LCM(7138,2015) = 14383070 / 1

LCM(7138,2015) = 14383070


Lets's calculate GCF of 966,5980

2 966, 5980
23 483, 2990
21, 130

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14383070/46

Therefore the LCM of Fractions 7138/966,2015/5980 is 14383070/46

Greatest Common Factor of 966,5980 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,5980 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Greatest Common Factor

We found the factors 966,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 966,5980 is 46.


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 7138/966, 2015/5980

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 7138/966, 2015/5980?

Answer: LCM of Numerators as per given numbers 7138/966, 2015/5980 is

LCM of Numerators i.e. for 7138,2015 is 14383070

GCF of denominators i.e. for 966,5980 is 46.

Thus, LCM of Fractions is 14383070/46.Finally, LCM of Fractions for 7138/966, 2015/5980 is 14383070/46.