Least Common Multiple of 829/584, 707/612, 827/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/584, 707/612, 827/493 quickly i.e. 484707181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/584, 707/612, 827/493 is 484707181.

LCM(829/584, 707/612, 827/493) = 484707181

LCM of 829/584, 707/612, 827/493

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 829/584,707/612,827/493

Given numbers are 829/584,707/612,827/493

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 829,707,827

Least Common Multiple of Numerators i.e. LCM of 829,707,827 is 484707181.

GCF of Denominators means GCF of 584,612,493 as per the given fractions.

GCF of 584,612,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,707,827

LCM of Fractions 829/584,707/612,827/493 is 484707181

Given numbers has no common factors except 1. So, there LCM is their product i.e 484707181

Least Common Multiple of 829,707,827 with GCF Formula

Least Common Multiple of 829,707,827 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 829,707,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,707,827) = 1

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

GCF(829,707,827) x common factors =1 x 1 = 1

LCM(829,707,827) = ( 829 × 707 × 827 ) / 1

LCM(829,707,827) = 484707181 / 1

LCM(829,707,827) = 484707181


Lets's calculate GCF of 584,612,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484707181/1

Therefore the LCM of Fractions 829/584,707/612,827/493 is 484707181

Greatest Common Factor of 584,612,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,612,493 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 584,612,493 . The biggest common factor number is the GCF number.
So the greatest common factor 584,612,493 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 829/584, 707/612, 827/493

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 829/584, 707/612, 827/493?

Answer: LCM of Numerators as per given numbers 829/584, 707/612, 827/493 is

LCM of Numerators i.e. for 829,707,827 is 484707181

GCF of denominators i.e. for 584,612,493 is 1.

Thus, LCM of Fractions is 484707181.Finally, LCM of Fractions for 829/584, 707/612, 827/493 is 484707181.