Least Common Multiple of 9028/568, 6882/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9028/568, 6882/516 quickly i.e. 209901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9028/568, 6882/516 is 209901.

LCM(9028/568, 6882/516) = 209901

LCM of 9028/568, 6882/516

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 9028/568,6882/516

Given numbers are 9028/568,6882/516

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 9028,6882

Least Common Multiple of Numerators i.e. LCM of 9028,6882 is 839604.

GCF of Denominators means GCF of 568,516 as per the given fractions.

GCF of 568,516 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9028,6882

LCM of Fractions 9028/568,6882/516 is 209901

2 9028, 6882
37 4514, 3441
122, 93

∴ So the LCM of the given numbers is 2 x 37 x 122 x 93 = 839604

Least Common Multiple of 9028,6882 with GCF Formula

Least Common Multiple of 9028,6882 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 9028,6882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9028,6882) = 74

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

GCF(9028,6882) x common factors =74 x 1 = 74

LCM(9028,6882) = ( 9028 × 6882 ) / 74

LCM(9028,6882) = 62130696 / 74

LCM(9028,6882) = 839604


Lets's calculate GCF of 568,516

2 568, 516
2 284, 258
142, 129

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 839604/4

Therefore the LCM of Fractions 9028/568,6882/516 is 209901

Greatest Common Factor of 568,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,516 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 568,516 . The biggest common factor number is the GCF number.
So the greatest common factor 568,516 is 4.


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 9028/568, 6882/516

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 9028/568, 6882/516?

Answer: LCM of Numerators as per given numbers 9028/568, 6882/516 is

LCM of Numerators i.e. for 9028,6882 is 839604

GCF of denominators i.e. for 568,516 is 4.

Thus, LCM of Fractions is 209901.Finally, LCM of Fractions for 9028/568, 6882/516 is 209901.