Least Common Multiple of 89/282, 312/563, 977/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/282, 312/563, 977/650 quickly i.e. 27129336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/282, 312/563, 977/650 is 27129336.

LCM(89/282, 312/563, 977/650) = 27129336

LCM of 89/282, 312/563, 977/650

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 89/282,312/563,977/650

Given numbers are 89/282,312/563,977/650

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 89,312,977

Least Common Multiple of Numerators i.e. LCM of 89,312,977 is 27129336.

GCF of Denominators means GCF of 282,563,650 as per the given fractions.

GCF of 282,563,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,312,977

LCM of Fractions 89/282,312/563,977/650 is 27129336

Given numbers has no common factors except 1. So, there LCM is their product i.e 27129336

Least Common Multiple of 89,312,977 with GCF Formula

Least Common Multiple of 89,312,977 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 89,312,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,312,977) = 1

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

GCF(89,312,977) x common factors =1 x 1 = 1

LCM(89,312,977) = ( 89 × 312 × 977 ) / 1

LCM(89,312,977) = 27129336 / 1

LCM(89,312,977) = 27129336


Lets's calculate GCF of 282,563,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27129336/1

Therefore the LCM of Fractions 89/282,312/563,977/650 is 27129336

Greatest Common Factor of 282,563,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,563,650 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 282,563,650 . The biggest common factor number is the GCF number.
So the greatest common factor 282,563,650 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 89/282, 312/563, 977/650

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 89/282, 312/563, 977/650?

Answer: LCM of Numerators as per given numbers 89/282, 312/563, 977/650 is

LCM of Numerators i.e. for 89,312,977 is 27129336

GCF of denominators i.e. for 282,563,650 is 1.

Thus, LCM of Fractions is 27129336.Finally, LCM of Fractions for 89/282, 312/563, 977/650 is 27129336.