Least Common Multiple of 5968/656, 9799/7384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5968/656, 9799/7384 quickly i.e. 7310054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5968/656, 9799/7384 is 7310054.

LCM(5968/656, 9799/7384) = 7310054

LCM of 5968/656, 9799/7384

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 5968/656,9799/7384

Given numbers are 5968/656,9799/7384

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 5968,9799

Least Common Multiple of Numerators i.e. LCM of 5968,9799 is 58480432.

GCF of Denominators means GCF of 656,7384 as per the given fractions.

GCF of 656,7384 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5968,9799

LCM of Fractions 5968/656,9799/7384 is 7310054

Given numbers has no common factors except 1. So, there LCM is their product i.e 58480432

Least Common Multiple of 5968,9799 with GCF Formula

Least Common Multiple of 5968,9799 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 5968,9799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5968,9799) = 1

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

GCF(5968,9799) x common factors =1 x 1 = 1

LCM(5968,9799) = ( 5968 × 9799 ) / 1

LCM(5968,9799) = 58480432 / 1

LCM(5968,9799) = 58480432


Lets's calculate GCF of 656,7384

2 656, 7384
2 328, 3692
2 164, 1846
82, 923

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58480432/8

Therefore the LCM of Fractions 5968/656,9799/7384 is 7310054

Greatest Common Factor of 656,7384 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,7384 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Greatest Common Factor

We found the factors 656,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 656,7384 is 8.


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 5968/656, 9799/7384

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 5968/656, 9799/7384?

Answer: LCM of Numerators as per given numbers 5968/656, 9799/7384 is

LCM of Numerators i.e. for 5968,9799 is 58480432

GCF of denominators i.e. for 656,7384 is 8.

Thus, LCM of Fractions is 7310054.Finally, LCM of Fractions for 5968/656, 9799/7384 is 7310054.