Least Common Multiple of 582/375, 164/677, 182/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/375, 164/677, 182/623 quickly i.e. 4342884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/375, 164/677, 182/623 is 4342884.

LCM(582/375, 164/677, 182/623) = 4342884

LCM of 582/375, 164/677, 182/623

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 582/375,164/677,182/623

Given numbers are 582/375,164/677,182/623

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 582,164,182

Least Common Multiple of Numerators i.e. LCM of 582,164,182 is 4342884.

GCF of Denominators means GCF of 375,677,623 as per the given fractions.

GCF of 375,677,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,164,182

LCM of Fractions 582/375,164/677,182/623 is 4342884

2 582, 164, 182
291, 82, 91

∴ So the LCM of the given numbers is 2 x 291 x 82 x 91 = 4342884

Least Common Multiple of 582,164,182 with GCF Formula

Least Common Multiple of 582,164,182 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 582,164,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,164,182) = 2

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

GCF(582,164,182) x common factors =2 x 2 = 4

LCM(582,164,182) = ( 582 × 164 × 182 ) / 4

LCM(582,164,182) = 17371536 / 4

LCM(582,164,182) = 4342884


Lets's calculate GCF of 375,677,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4342884/1

Therefore the LCM of Fractions 582/375,164/677,182/623 is 4342884

Greatest Common Factor of 375,677,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,677,623 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 375,677,623 . The biggest common factor number is the GCF number.
So the greatest common factor 375,677,623 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 582/375, 164/677, 182/623

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 582/375, 164/677, 182/623?

Answer: LCM of Numerators as per given numbers 582/375, 164/677, 182/623 is

LCM of Numerators i.e. for 582,164,182 is 4342884

GCF of denominators i.e. for 375,677,623 is 1.

Thus, LCM of Fractions is 4342884.Finally, LCM of Fractions for 582/375, 164/677, 182/623 is 4342884.