Least Common Multiple of 93/798, 582/75, 461/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/798, 582/75, 461/684 quickly i.e. 2772454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/798, 582/75, 461/684 is 2772454.

LCM(93/798, 582/75, 461/684) = 2772454

LCM of 93/798, 582/75, 461/684

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 93/798,582/75,461/684

Given numbers are 93/798,582/75,461/684

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 93,582,461

Least Common Multiple of Numerators i.e. LCM of 93,582,461 is 8317362.

GCF of Denominators means GCF of 798,75,684 as per the given fractions.

GCF of 798,75,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,582,461

LCM of Fractions 93/798,582/75,461/684 is 2772454

3 93, 582, 461
31, 194, 461

∴ So the LCM of the given numbers is 3 x 31 x 194 x 461 = 8317362

Least Common Multiple of 93,582,461 with GCF Formula

Least Common Multiple of 93,582,461 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 93,582,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,582,461) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,582,461) x common factors =1 x 3 = 3

LCM(93,582,461) = ( 93 × 582 × 461 ) / 3

LCM(93,582,461) = 24952086 / 3

LCM(93,582,461) = 8317362


Lets's calculate GCF of 798,75,684

3 798, 75, 684
266, 25, 228

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8317362/3

Therefore the LCM of Fractions 93/798,582/75,461/684 is 2772454

Greatest Common Factor of 798,75,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,75,684 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 798,75,684 . The biggest common factor number is the GCF number.
So the greatest common factor 798,75,684 is 3.


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 93/798, 582/75, 461/684

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 93/798, 582/75, 461/684?

Answer: LCM of Numerators as per given numbers 93/798, 582/75, 461/684 is

LCM of Numerators i.e. for 93,582,461 is 8317362

GCF of denominators i.e. for 798,75,684 is 3.

Thus, LCM of Fractions is 2772454.Finally, LCM of Fractions for 93/798, 582/75, 461/684 is 2772454.