Least Common Multiple of 592/486, 197/258, 580/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/486, 197/258, 580/228 quickly i.e. 16910480/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/486, 197/258, 580/228 is 16910480/6.

LCM(592/486, 197/258, 580/228) = 16910480/6

LCM of 592/486, 197/258, 580/228

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 592/486,197/258,580/228

Given numbers are 592/486,197/258,580/228

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 592,197,580

Least Common Multiple of Numerators i.e. LCM of 592,197,580 is 16910480.

GCF of Denominators means GCF of 486,258,228 as per the given fractions.

GCF of 486,258,228 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,197,580

LCM of Fractions 592/486,197/258,580/228 is 16910480/6

2 592, 197, 580
2 296, 197, 290
148, 197, 145

∴ So the LCM of the given numbers is 2 x 2 x 148 x 197 x 145 = 16910480

Least Common Multiple of 592,197,580 with GCF Formula

Least Common Multiple of 592,197,580 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 592,197,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,197,580) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(592,197,580) x common factors =1 x 4 = 4

LCM(592,197,580) = ( 592 × 197 × 580 ) / 4

LCM(592,197,580) = 67641920 / 4

LCM(592,197,580) = 16910480


Lets's calculate GCF of 486,258,228

2 486, 258, 228
3 243, 129, 114
81, 43, 38

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16910480/6

Therefore the LCM of Fractions 592/486,197/258,580/228 is 16910480/6

Greatest Common Factor of 486,258,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,258,228 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

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

Greatest Common Factor

We found the factors 486,258,228 . The biggest common factor number is the GCF number.
So the greatest common factor 486,258,228 is 6.


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 592/486, 197/258, 580/228

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 592/486, 197/258, 580/228?

Answer: LCM of Numerators as per given numbers 592/486, 197/258, 580/228 is

LCM of Numerators i.e. for 592,197,580 is 16910480

GCF of denominators i.e. for 486,258,228 is 6.

Thus, LCM of Fractions is 16910480/6.Finally, LCM of Fractions for 592/486, 197/258, 580/228 is 16910480/6.