Least Common Multiple of 89/130, 857/108, 284/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/130, 857/108, 284/207 quickly i.e. 21661532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/130, 857/108, 284/207 is 21661532.

LCM(89/130, 857/108, 284/207) = 21661532

LCM of 89/130, 857/108, 284/207

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 89/130,857/108,284/207

Given numbers are 89/130,857/108,284/207

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 89,857,284

Least Common Multiple of Numerators i.e. LCM of 89,857,284 is 21661532.

GCF of Denominators means GCF of 130,108,207 as per the given fractions.

GCF of 130,108,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,857,284

LCM of Fractions 89/130,857/108,284/207 is 21661532

Given numbers has no common factors except 1. So, there LCM is their product i.e 21661532

Least Common Multiple of 89,857,284 with GCF Formula

Least Common Multiple of 89,857,284 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 89,857,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,857,284) = 1

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

GCF(89,857,284) x common factors =1 x 1 = 1

LCM(89,857,284) = ( 89 × 857 × 284 ) / 1

LCM(89,857,284) = 21661532 / 1

LCM(89,857,284) = 21661532


Lets's calculate GCF of 130,108,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21661532/1

Therefore the LCM of Fractions 89/130,857/108,284/207 is 21661532

Greatest Common Factor of 130,108,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,108,207 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 130,108,207 . The biggest common factor number is the GCF number.
So the greatest common factor 130,108,207 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 89/130, 857/108, 284/207

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 89/130, 857/108, 284/207?

Answer: LCM of Numerators as per given numbers 89/130, 857/108, 284/207 is

LCM of Numerators i.e. for 89,857,284 is 21661532

GCF of denominators i.e. for 130,108,207 is 1.

Thus, LCM of Fractions is 21661532.Finally, LCM of Fractions for 89/130, 857/108, 284/207 is 21661532.