Least Common Multiple of 8321/292, 5505/8617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8321/292, 5505/8617 quickly i.e. 45807105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8321/292, 5505/8617 is 45807105.

LCM(8321/292, 5505/8617) = 45807105

LCM of 8321/292, 5505/8617

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 8321/292,5505/8617

Given numbers are 8321/292,5505/8617

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 8321,5505

Least Common Multiple of Numerators i.e. LCM of 8321,5505 is 45807105.

GCF of Denominators means GCF of 292,8617 as per the given fractions.

GCF of 292,8617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8321,5505

LCM of Fractions 8321/292,5505/8617 is 45807105

Given numbers has no common factors except 1. So, there LCM is their product i.e 45807105

Least Common Multiple of 8321,5505 with GCF Formula

Least Common Multiple of 8321,5505 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 8321,5505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8321,5505) = 1

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

GCF(8321,5505) x common factors =1 x 1 = 1

LCM(8321,5505) = ( 8321 × 5505 ) / 1

LCM(8321,5505) = 45807105 / 1

LCM(8321,5505) = 45807105


Lets's calculate GCF of 292,8617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45807105/1

Therefore the LCM of Fractions 8321/292,5505/8617 is 45807105

Greatest Common Factor of 292,8617 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,8617 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 8617

List of positive integer factors of 8617 that divides 8617 without a remainder.

1,7,1231,8617

Greatest Common Factor

We found the factors 292,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 292,8617 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 8321/292, 5505/8617

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 8321/292, 5505/8617?

Answer: LCM of Numerators as per given numbers 8321/292, 5505/8617 is

LCM of Numerators i.e. for 8321,5505 is 45807105

GCF of denominators i.e. for 292,8617 is 1.

Thus, LCM of Fractions is 45807105.Finally, LCM of Fractions for 8321/292, 5505/8617 is 45807105.