Least Common Multiple of 582/427, 179/722, 817/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/427, 179/722, 817/665 quickly i.e. 85113426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/427, 179/722, 817/665 is 85113426.

LCM(582/427, 179/722, 817/665) = 85113426

LCM of 582/427, 179/722, 817/665

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 582/427,179/722,817/665

Given numbers are 582/427,179/722,817/665

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 582,179,817

Least Common Multiple of Numerators i.e. LCM of 582,179,817 is 85113426.

GCF of Denominators means GCF of 427,722,665 as per the given fractions.

GCF of 427,722,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,179,817

LCM of Fractions 582/427,179/722,817/665 is 85113426

Given numbers has no common factors except 1. So, there LCM is their product i.e 85113426

Least Common Multiple of 582,179,817 with GCF Formula

Least Common Multiple of 582,179,817 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 582,179,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,179,817) = 1

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

GCF(582,179,817) x common factors =1 x 1 = 1

LCM(582,179,817) = ( 582 × 179 × 817 ) / 1

LCM(582,179,817) = 85113426 / 1

LCM(582,179,817) = 85113426


Lets's calculate GCF of 427,722,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85113426/1

Therefore the LCM of Fractions 582/427,179/722,817/665 is 85113426

Greatest Common Factor of 427,722,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,722,665 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 427,722,665 . The biggest common factor number is the GCF number.
So the greatest common factor 427,722,665 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 582/427, 179/722, 817/665

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 582/427, 179/722, 817/665?

Answer: LCM of Numerators as per given numbers 582/427, 179/722, 817/665 is

LCM of Numerators i.e. for 582,179,817 is 85113426

GCF of denominators i.e. for 427,722,665 is 1.

Thus, LCM of Fractions is 85113426.Finally, LCM of Fractions for 582/427, 179/722, 817/665 is 85113426.