Least Common Multiple of 796/578, 9992/1717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/578, 9992/1717 quickly i.e. 1988408/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/578, 9992/1717 is 1988408/17.

LCM(796/578, 9992/1717) = 1988408/17

LCM of 796/578, 9992/1717

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 796/578,9992/1717

Given numbers are 796/578,9992/1717

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 796,9992

Least Common Multiple of Numerators i.e. LCM of 796,9992 is 1988408.

GCF of Denominators means GCF of 578,1717 as per the given fractions.

GCF of 578,1717 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,9992

LCM of Fractions 796/578,9992/1717 is 1988408/17

2 796, 9992
2 398, 4996
199, 2498

∴ So the LCM of the given numbers is 2 x 2 x 199 x 2498 = 1988408

Least Common Multiple of 796,9992 with GCF Formula

Least Common Multiple of 796,9992 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 796,9992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,9992) = 4

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

GCF(796,9992) x common factors =4 x 1 = 4

LCM(796,9992) = ( 796 × 9992 ) / 4

LCM(796,9992) = 7953632 / 4

LCM(796,9992) = 1988408


Lets's calculate GCF of 578,1717

17 578, 1717
34, 101

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1988408/17

Therefore the LCM of Fractions 796/578,9992/1717 is 1988408/17

Greatest Common Factor of 578,1717 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1717 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1,17,101,1717

Greatest Common Factor

We found the factors 578,1717 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1717 is 17.


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 796/578, 9992/1717

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 796/578, 9992/1717?

Answer: LCM of Numerators as per given numbers 796/578, 9992/1717 is

LCM of Numerators i.e. for 796,9992 is 1988408

GCF of denominators i.e. for 578,1717 is 17.

Thus, LCM of Fractions is 1988408/17.Finally, LCM of Fractions for 796/578, 9992/1717 is 1988408/17.