Least Common Multiple of 42/258, 255/583, 577/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/258, 255/583, 577/372 quickly i.e. 2059890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/258, 255/583, 577/372 is 2059890.

LCM(42/258, 255/583, 577/372) = 2059890

LCM of 42/258, 255/583, 577/372

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 42/258,255/583,577/372

Given numbers are 42/258,255/583,577/372

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 42,255,577

Least Common Multiple of Numerators i.e. LCM of 42,255,577 is 2059890.

GCF of Denominators means GCF of 258,583,372 as per the given fractions.

GCF of 258,583,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,255,577

LCM of Fractions 42/258,255/583,577/372 is 2059890

3 42, 255, 577
14, 85, 577

∴ So the LCM of the given numbers is 3 x 14 x 85 x 577 = 2059890

Least Common Multiple of 42,255,577 with GCF Formula

Least Common Multiple of 42,255,577 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 42,255,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,255,577) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(42,255,577) x common factors =1 x 3 = 3

LCM(42,255,577) = ( 42 × 255 × 577 ) / 3

LCM(42,255,577) = 6179670 / 3

LCM(42,255,577) = 2059890


Lets's calculate GCF of 258,583,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2059890/1

Therefore the LCM of Fractions 42/258,255/583,577/372 is 2059890

Greatest Common Factor of 258,583,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,583,372 By Matching Biggest Common Factor Method

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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 258,583,372 . The biggest common factor number is the GCF number.
So the greatest common factor 258,583,372 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 42/258, 255/583, 577/372

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 42/258, 255/583, 577/372?

Answer: LCM of Numerators as per given numbers 42/258, 255/583, 577/372 is

LCM of Numerators i.e. for 42,255,577 is 2059890

GCF of denominators i.e. for 258,583,372 is 1.

Thus, LCM of Fractions is 2059890.Finally, LCM of Fractions for 42/258, 255/583, 577/372 is 2059890.