Least Common Multiple of 8975/798, 5591/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8975/798, 5591/684 quickly i.e. 50179225/114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8975/798, 5591/684 is 50179225/114.

LCM(8975/798, 5591/684) = 50179225/114

LCM of 8975/798, 5591/684

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 8975/798,5591/684

Given numbers are 8975/798,5591/684

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 8975,5591

Least Common Multiple of Numerators i.e. LCM of 8975,5591 is 50179225.

GCF of Denominators means GCF of 798,684 as per the given fractions.

GCF of 798,684 is 114 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8975,5591

LCM of Fractions 8975/798,5591/684 is 50179225/114

Given numbers has no common factors except 1. So, there LCM is their product i.e 50179225

Least Common Multiple of 8975,5591 with GCF Formula

Least Common Multiple of 8975,5591 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 8975,5591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8975,5591) = 1

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

GCF(8975,5591) x common factors =1 x 1 = 1

LCM(8975,5591) = ( 8975 × 5591 ) / 1

LCM(8975,5591) = 50179225 / 1

LCM(8975,5591) = 50179225


Lets's calculate GCF of 798,684

2 798, 684
3 399, 342
19 133, 114
7, 6

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50179225/114

Therefore the LCM of Fractions 8975/798,5591/684 is 50179225/114

Greatest Common Factor of 798,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,684 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 798,684 . The biggest common factor number is the GCF number.
So the greatest common factor 798,684 is 114.


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 8975/798, 5591/684

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 8975/798, 5591/684?

Answer: LCM of Numerators as per given numbers 8975/798, 5591/684 is

LCM of Numerators i.e. for 8975,5591 is 50179225

GCF of denominators i.e. for 798,684 is 114.

Thus, LCM of Fractions is 50179225/114.Finally, LCM of Fractions for 8975/798, 5591/684 is 50179225/114.