Least Common Multiple of 7494/959, 7659/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7494/959, 7659/970 quickly i.e. 19132182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7494/959, 7659/970 is 19132182.

LCM(7494/959, 7659/970) = 19132182

LCM of 7494/959, 7659/970

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 7494/959,7659/970

Given numbers are 7494/959,7659/970

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 7494,7659

Least Common Multiple of Numerators i.e. LCM of 7494,7659 is 19132182.

GCF of Denominators means GCF of 959,970 as per the given fractions.

GCF of 959,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7494,7659

LCM of Fractions 7494/959,7659/970 is 19132182

3 7494, 7659
2498, 2553

∴ So the LCM of the given numbers is 3 x 2498 x 2553 = 19132182

Least Common Multiple of 7494,7659 with GCF Formula

Least Common Multiple of 7494,7659 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 7494,7659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7494,7659) = 3

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

GCF(7494,7659) x common factors =3 x 1 = 3

LCM(7494,7659) = ( 7494 × 7659 ) / 3

LCM(7494,7659) = 57396546 / 3

LCM(7494,7659) = 19132182


Lets's calculate GCF of 959,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19132182/1

Therefore the LCM of Fractions 7494/959,7659/970 is 19132182

Greatest Common Factor of 959,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,970 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 959,970 . The biggest common factor number is the GCF number.
So the greatest common factor 959,970 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 7494/959, 7659/970

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 7494/959, 7659/970?

Answer: LCM of Numerators as per given numbers 7494/959, 7659/970 is

LCM of Numerators i.e. for 7494,7659 is 19132182

GCF of denominators i.e. for 959,970 is 1.

Thus, LCM of Fractions is 19132182.Finally, LCM of Fractions for 7494/959, 7659/970 is 19132182.