Least Common Multiple of 58/304, 50/282, 234/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/304, 50/282, 234/586 quickly i.e. 84825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/304, 50/282, 234/586 is 84825.

LCM(58/304, 50/282, 234/586) = 84825

LCM of 58/304, 50/282, 234/586

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 58/304,50/282,234/586

Given numbers are 58/304,50/282,234/586

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 58,50,234

Least Common Multiple of Numerators i.e. LCM of 58,50,234 is 169650.

GCF of Denominators means GCF of 304,282,586 as per the given fractions.

GCF of 304,282,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,50,234

LCM of Fractions 58/304,50/282,234/586 is 84825

2 58, 50, 234
29, 25, 117

∴ So the LCM of the given numbers is 2 x 29 x 25 x 117 = 169650

Least Common Multiple of 58,50,234 with GCF Formula

Least Common Multiple of 58,50,234 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 58,50,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,50,234) = 2

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

GCF(58,50,234) x common factors =2 x 2 = 4

LCM(58,50,234) = ( 58 × 50 × 234 ) / 4

LCM(58,50,234) = 678600 / 4

LCM(58,50,234) = 169650


Lets's calculate GCF of 304,282,586

2 304, 282, 586
152, 141, 293

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169650/2

Therefore the LCM of Fractions 58/304,50/282,234/586 is 84825

Greatest Common Factor of 304,282,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,282,586 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 304,282,586 . The biggest common factor number is the GCF number.
So the greatest common factor 304,282,586 is 2.


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 58/304, 50/282, 234/586

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 58/304, 50/282, 234/586?

Answer: LCM of Numerators as per given numbers 58/304, 50/282, 234/586 is

LCM of Numerators i.e. for 58,50,234 is 169650

GCF of denominators i.e. for 304,282,586 is 2.

Thus, LCM of Fractions is 84825.Finally, LCM of Fractions for 58/304, 50/282, 234/586 is 84825.