Least Common Multiple of 569/84, 100/9080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/84, 100/9080 quickly i.e. 14225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/84, 100/9080 is 14225.

LCM(569/84, 100/9080) = 14225

LCM of 569/84, 100/9080

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 569/84,100/9080

Given numbers are 569/84,100/9080

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 569,100

Least Common Multiple of Numerators i.e. LCM of 569,100 is 56900.

GCF of Denominators means GCF of 84,9080 as per the given fractions.

GCF of 84,9080 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,100

LCM of Fractions 569/84,100/9080 is 14225

Given numbers has no common factors except 1. So, there LCM is their product i.e 56900

Least Common Multiple of 569,100 with GCF Formula

Least Common Multiple of 569,100 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 569,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,100) = 1

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

GCF(569,100) x common factors =1 x 1 = 1

LCM(569,100) = ( 569 × 100 ) / 1

LCM(569,100) = 56900 / 1

LCM(569,100) = 56900


Lets's calculate GCF of 84,9080

2 84, 9080
2 42, 4540
21, 2270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56900/4

Therefore the LCM of Fractions 569/84,100/9080 is 14225

Greatest Common Factor of 84,9080 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,9080 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080

Greatest Common Factor

We found the factors 84,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9080 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 569/84, 100/9080

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 569/84, 100/9080?

Answer: LCM of Numerators as per given numbers 569/84, 100/9080 is

LCM of Numerators i.e. for 569,100 is 56900

GCF of denominators i.e. for 84,9080 is 4.

Thus, LCM of Fractions is 14225.Finally, LCM of Fractions for 569/84, 100/9080 is 14225.