Least Common Multiple of 5550/566, 9116/1417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5550/566, 9116/1417 quickly i.e. 25296900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5550/566, 9116/1417 is 25296900.

LCM(5550/566, 9116/1417) = 25296900

LCM of 5550/566, 9116/1417

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 5550/566,9116/1417

Given numbers are 5550/566,9116/1417

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 5550,9116

Least Common Multiple of Numerators i.e. LCM of 5550,9116 is 25296900.

GCF of Denominators means GCF of 566,1417 as per the given fractions.

GCF of 566,1417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5550,9116

LCM of Fractions 5550/566,9116/1417 is 25296900

2 5550, 9116
2775, 4558

∴ So the LCM of the given numbers is 2 x 2775 x 4558 = 25296900

Least Common Multiple of 5550,9116 with GCF Formula

Least Common Multiple of 5550,9116 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 5550,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5550,9116) = 2

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

GCF(5550,9116) x common factors =2 x 1 = 2

LCM(5550,9116) = ( 5550 × 9116 ) / 2

LCM(5550,9116) = 50593800 / 2

LCM(5550,9116) = 25296900


Lets's calculate GCF of 566,1417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25296900/1

Therefore the LCM of Fractions 5550/566,9116/1417 is 25296900

Greatest Common Factor of 566,1417 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,1417 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1,13,109,1417

Greatest Common Factor

We found the factors 566,1417 . The biggest common factor number is the GCF number.
So the greatest common factor 566,1417 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 5550/566, 9116/1417

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 5550/566, 9116/1417?

Answer: LCM of Numerators as per given numbers 5550/566, 9116/1417 is

LCM of Numerators i.e. for 5550,9116 is 25296900

GCF of denominators i.e. for 566,1417 is 1.

Thus, LCM of Fractions is 25296900.Finally, LCM of Fractions for 5550/566, 9116/1417 is 25296900.