Least Common Multiple of 709/642, 996/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/642, 996/966 quickly i.e. 117694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/642, 996/966 is 117694.

LCM(709/642, 996/966) = 117694

LCM of 709/642, 996/966

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 709/642,996/966

Given numbers are 709/642,996/966

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 709,996

Least Common Multiple of Numerators i.e. LCM of 709,996 is 706164.

GCF of Denominators means GCF of 642,966 as per the given fractions.

GCF of 642,966 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,996

LCM of Fractions 709/642,996/966 is 117694

Given numbers has no common factors except 1. So, there LCM is their product i.e 706164

Least Common Multiple of 709,996 with GCF Formula

Least Common Multiple of 709,996 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 709,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,996) = 1

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

GCF(709,996) x common factors =1 x 1 = 1

LCM(709,996) = ( 709 × 996 ) / 1

LCM(709,996) = 706164 / 1

LCM(709,996) = 706164


Lets's calculate GCF of 642,966

2 642, 966
3 321, 483
107, 161

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706164/6

Therefore the LCM of Fractions 709/642,996/966 is 117694

Greatest Common Factor of 642,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,966 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

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

Greatest Common Factor

We found the factors 642,966 . The biggest common factor number is the GCF number.
So the greatest common factor 642,966 is 6.


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 709/642, 996/966

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 709/642, 996/966?

Answer: LCM of Numerators as per given numbers 709/642, 996/966 is

LCM of Numerators i.e. for 709,996 is 706164

GCF of denominators i.e. for 642,966 is 6.

Thus, LCM of Fractions is 117694.Finally, LCM of Fractions for 709/642, 996/966 is 117694.