Least Common Multiple of 82/717, 74/228, 483/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/717, 74/228, 483/689 quickly i.e. 1465422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/717, 74/228, 483/689 is 1465422.

LCM(82/717, 74/228, 483/689) = 1465422

LCM of 82/717, 74/228, 483/689

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 82/717,74/228,483/689

Given numbers are 82/717,74/228,483/689

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 82,74,483

Least Common Multiple of Numerators i.e. LCM of 82,74,483 is 1465422.

GCF of Denominators means GCF of 717,228,689 as per the given fractions.

GCF of 717,228,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,74,483

LCM of Fractions 82/717,74/228,483/689 is 1465422

2 82, 74, 483
41, 37, 483

∴ So the LCM of the given numbers is 2 x 41 x 37 x 483 = 1465422

Least Common Multiple of 82,74,483 with GCF Formula

Least Common Multiple of 82,74,483 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 82,74,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,74,483) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,74,483) x common factors =1 x 2 = 2

LCM(82,74,483) = ( 82 × 74 × 483 ) / 2

LCM(82,74,483) = 2930844 / 2

LCM(82,74,483) = 1465422


Lets's calculate GCF of 717,228,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1465422/1

Therefore the LCM of Fractions 82/717,74/228,483/689 is 1465422

Greatest Common Factor of 717,228,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,228,689 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 717,228,689 . The biggest common factor number is the GCF number.
So the greatest common factor 717,228,689 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 82/717, 74/228, 483/689

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 82/717, 74/228, 483/689?

Answer: LCM of Numerators as per given numbers 82/717, 74/228, 483/689 is

LCM of Numerators i.e. for 82,74,483 is 1465422

GCF of denominators i.e. for 717,228,689 is 1.

Thus, LCM of Fractions is 1465422.Finally, LCM of Fractions for 82/717, 74/228, 483/689 is 1465422.