Least Common Multiple of 974/68, 789/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/68, 789/995 quickly i.e. 768486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/68, 789/995 is 768486.

LCM(974/68, 789/995) = 768486

LCM of 974/68, 789/995

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 974/68,789/995

Given numbers are 974/68,789/995

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 974,789

Least Common Multiple of Numerators i.e. LCM of 974,789 is 768486.

GCF of Denominators means GCF of 68,995 as per the given fractions.

GCF of 68,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,789

LCM of Fractions 974/68,789/995 is 768486

Given numbers has no common factors except 1. So, there LCM is their product i.e 768486

Least Common Multiple of 974,789 with GCF Formula

Least Common Multiple of 974,789 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 974,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,789) = 1

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

GCF(974,789) x common factors =1 x 1 = 1

LCM(974,789) = ( 974 × 789 ) / 1

LCM(974,789) = 768486 / 1

LCM(974,789) = 768486


Lets's calculate GCF of 68,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768486/1

Therefore the LCM of Fractions 974/68,789/995 is 768486

Greatest Common Factor of 68,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,995 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 68,995 . The biggest common factor number is the GCF number.
So the greatest common factor 68,995 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 974/68, 789/995

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 974/68, 789/995?

Answer: LCM of Numerators as per given numbers 974/68, 789/995 is

LCM of Numerators i.e. for 974,789 is 768486

GCF of denominators i.e. for 68,995 is 1.

Thus, LCM of Fractions is 768486.Finally, LCM of Fractions for 974/68, 789/995 is 768486.