Least Common Multiple of 42/707, 968/608, 713/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/707, 968/608, 713/605 quickly i.e. 14493864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/707, 968/608, 713/605 is 14493864.

LCM(42/707, 968/608, 713/605) = 14493864

LCM of 42/707, 968/608, 713/605

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 42/707,968/608,713/605

Given numbers are 42/707,968/608,713/605

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 42,968,713

Least Common Multiple of Numerators i.e. LCM of 42,968,713 is 14493864.

GCF of Denominators means GCF of 707,608,605 as per the given fractions.

GCF of 707,608,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,968,713

LCM of Fractions 42/707,968/608,713/605 is 14493864

2 42, 968, 713
21, 484, 713

∴ So the LCM of the given numbers is 2 x 21 x 484 x 713 = 14493864

Least Common Multiple of 42,968,713 with GCF Formula

Least Common Multiple of 42,968,713 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 42,968,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,968,713) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,968,713) x common factors =1 x 2 = 2

LCM(42,968,713) = ( 42 × 968 × 713 ) / 2

LCM(42,968,713) = 28987728 / 2

LCM(42,968,713) = 14493864


Lets's calculate GCF of 707,608,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14493864/1

Therefore the LCM of Fractions 42/707,968/608,713/605 is 14493864

Greatest Common Factor of 707,608,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,608,605 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 707,608,605 . The biggest common factor number is the GCF number.
So the greatest common factor 707,608,605 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 42/707, 968/608, 713/605

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 42/707, 968/608, 713/605?

Answer: LCM of Numerators as per given numbers 42/707, 968/608, 713/605 is

LCM of Numerators i.e. for 42,968,713 is 14493864

GCF of denominators i.e. for 707,608,605 is 1.

Thus, LCM of Fractions is 14493864.Finally, LCM of Fractions for 42/707, 968/608, 713/605 is 14493864.