Least Common Multiple of 515/390, 138/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/390, 138/955 quickly i.e. 14214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/390, 138/955 is 14214.

LCM(515/390, 138/955) = 14214

LCM of 515/390, 138/955

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 515/390,138/955

Given numbers are 515/390,138/955

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 515,138

Least Common Multiple of Numerators i.e. LCM of 515,138 is 71070.

GCF of Denominators means GCF of 390,955 as per the given fractions.

GCF of 390,955 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,138

LCM of Fractions 515/390,138/955 is 14214

Given numbers has no common factors except 1. So, there LCM is their product i.e 71070

Least Common Multiple of 515,138 with GCF Formula

Least Common Multiple of 515,138 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 515,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,138) = 1

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

GCF(515,138) x common factors =1 x 1 = 1

LCM(515,138) = ( 515 × 138 ) / 1

LCM(515,138) = 71070 / 1

LCM(515,138) = 71070


Lets's calculate GCF of 390,955

5 390, 955
78, 191

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71070/5

Therefore the LCM of Fractions 515/390,138/955 is 14214

Greatest Common Factor of 390,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,955 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 390,955 . The biggest common factor number is the GCF number.
So the greatest common factor 390,955 is 5.


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 515/390, 138/955

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 515/390, 138/955?

Answer: LCM of Numerators as per given numbers 515/390, 138/955 is

LCM of Numerators i.e. for 515,138 is 71070

GCF of denominators i.e. for 390,955 is 5.

Thus, LCM of Fractions is 14214.Finally, LCM of Fractions for 515/390, 138/955 is 14214.