Least Common Multiple of 702/968, 653/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 702/968, 653/642 quickly i.e. 229203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/968, 653/642 is 229203.

LCM(702/968, 653/642) = 229203

LCM of 702/968, 653/642

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 702/968,653/642

Given numbers are 702/968,653/642

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 702,653

Least Common Multiple of Numerators i.e. LCM of 702,653 is 458406.

GCF of Denominators means GCF of 968,642 as per the given fractions.

GCF of 968,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,653

LCM of Fractions 702/968,653/642 is 229203

Given numbers has no common factors except 1. So, there LCM is their product i.e 458406

Least Common Multiple of 702,653 with GCF Formula

Least Common Multiple of 702,653 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 702,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,653) = 1

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

GCF(702,653) x common factors =1 x 1 = 1

LCM(702,653) = ( 702 × 653 ) / 1

LCM(702,653) = 458406 / 1

LCM(702,653) = 458406


Lets's calculate GCF of 968,642

2 968, 642
484, 321

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458406/2

Therefore the LCM of Fractions 702/968,653/642 is 229203

Greatest Common Factor of 968,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,642 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 642

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

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

Greatest Common Factor

We found the factors 968,642 . The biggest common factor number is the GCF number.
So the greatest common factor 968,642 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 702/968, 653/642

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 702/968, 653/642?

Answer: LCM of Numerators as per given numbers 702/968, 653/642 is

LCM of Numerators i.e. for 702,653 is 458406

GCF of denominators i.e. for 968,642 is 2.

Thus, LCM of Fractions is 229203.Finally, LCM of Fractions for 702/968, 653/642 is 229203.