Least Common Multiple of 791/688, 9968/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 791/688, 9968/720 quickly i.e. 70399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/688, 9968/720 is 70399.

LCM(791/688, 9968/720) = 70399

LCM of 791/688, 9968/720

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 791/688,9968/720

Given numbers are 791/688,9968/720

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 791,9968

Least Common Multiple of Numerators i.e. LCM of 791,9968 is 1126384.

GCF of Denominators means GCF of 688,720 as per the given fractions.

GCF of 688,720 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,9968

LCM of Fractions 791/688,9968/720 is 70399

7 791, 9968
113, 1424

∴ So the LCM of the given numbers is 7 x 113 x 1424 = 1126384

Least Common Multiple of 791,9968 with GCF Formula

Least Common Multiple of 791,9968 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 791,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,9968) = 7

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

GCF(791,9968) x common factors =7 x 1 = 7

LCM(791,9968) = ( 791 × 9968 ) / 7

LCM(791,9968) = 7884688 / 7

LCM(791,9968) = 1126384


Lets's calculate GCF of 688,720

2 688, 720
2 344, 360
2 172, 180
2 86, 90
43, 45

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1126384/16

Therefore the LCM of Fractions 791/688,9968/720 is 70399

Greatest Common Factor of 688,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,720 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 688,720 . The biggest common factor number is the GCF number.
So the greatest common factor 688,720 is 16.


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 791/688, 9968/720

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 791/688, 9968/720?

Answer: LCM of Numerators as per given numbers 791/688, 9968/720 is

LCM of Numerators i.e. for 791,9968 is 1126384

GCF of denominators i.e. for 688,720 is 16.

Thus, LCM of Fractions is 70399.Finally, LCM of Fractions for 791/688, 9968/720 is 70399.