Least Common Multiple of 146/238, 344/272, 582/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/238, 344/272, 582/621 quickly i.e. 7307592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/238, 344/272, 582/621 is 7307592.

LCM(146/238, 344/272, 582/621) = 7307592

LCM of 146/238, 344/272, 582/621

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 146/238,344/272,582/621

Given numbers are 146/238,344/272,582/621

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 146,344,582

Least Common Multiple of Numerators i.e. LCM of 146,344,582 is 7307592.

GCF of Denominators means GCF of 238,272,621 as per the given fractions.

GCF of 238,272,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,344,582

LCM of Fractions 146/238,344/272,582/621 is 7307592

2 146, 344, 582
73, 172, 291

∴ So the LCM of the given numbers is 2 x 73 x 172 x 291 = 7307592

Least Common Multiple of 146,344,582 with GCF Formula

Least Common Multiple of 146,344,582 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 146,344,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,344,582) = 2

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

GCF(146,344,582) x common factors =2 x 2 = 4

LCM(146,344,582) = ( 146 × 344 × 582 ) / 4

LCM(146,344,582) = 29230368 / 4

LCM(146,344,582) = 7307592


Lets's calculate GCF of 238,272,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7307592/1

Therefore the LCM of Fractions 146/238,344/272,582/621 is 7307592

Greatest Common Factor of 238,272,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,272,621 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 238,272,621 . The biggest common factor number is the GCF number.
So the greatest common factor 238,272,621 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 146/238, 344/272, 582/621

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 146/238, 344/272, 582/621?

Answer: LCM of Numerators as per given numbers 146/238, 344/272, 582/621 is

LCM of Numerators i.e. for 146,344,582 is 7307592

GCF of denominators i.e. for 238,272,621 is 1.

Thus, LCM of Fractions is 7307592.Finally, LCM of Fractions for 146/238, 344/272, 582/621 is 7307592.