Least Common Multiple of 5680/475, 5822/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5680/475, 5822/796 quickly i.e. 232880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5680/475, 5822/796 is 232880.

LCM(5680/475, 5822/796) = 232880

LCM of 5680/475, 5822/796

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 5680/475,5822/796

Given numbers are 5680/475,5822/796

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 5680,5822

Least Common Multiple of Numerators i.e. LCM of 5680,5822 is 232880.

GCF of Denominators means GCF of 475,796 as per the given fractions.

GCF of 475,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5680,5822

LCM of Fractions 5680/475,5822/796 is 232880

2 5680, 5822
71 2840, 2911
40, 41

∴ So the LCM of the given numbers is 2 x 71 x 40 x 41 = 232880

Least Common Multiple of 5680,5822 with GCF Formula

Least Common Multiple of 5680,5822 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 5680,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5680,5822) = 142

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

GCF(5680,5822) x common factors =142 x 1 = 142

LCM(5680,5822) = ( 5680 × 5822 ) / 142

LCM(5680,5822) = 33068960 / 142

LCM(5680,5822) = 232880


Lets's calculate GCF of 475,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232880/1

Therefore the LCM of Fractions 5680/475,5822/796 is 232880

Greatest Common Factor of 475,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,796 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 475,796 . The biggest common factor number is the GCF number.
So the greatest common factor 475,796 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 5680/475, 5822/796

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 5680/475, 5822/796?

Answer: LCM of Numerators as per given numbers 5680/475, 5822/796 is

LCM of Numerators i.e. for 5680,5822 is 232880

GCF of denominators i.e. for 475,796 is 1.

Thus, LCM of Fractions is 232880.Finally, LCM of Fractions for 5680/475, 5822/796 is 232880.