Least Common Multiple of 92/258, 91/246, 574/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/258, 91/246, 574/627 quickly i.e. 343252/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/258, 91/246, 574/627 is 343252/3.

LCM(92/258, 91/246, 574/627) = 343252/3

LCM of 92/258, 91/246, 574/627

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 92/258,91/246,574/627

Given numbers are 92/258,91/246,574/627

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 92,91,574

Least Common Multiple of Numerators i.e. LCM of 92,91,574 is 343252.

GCF of Denominators means GCF of 258,246,627 as per the given fractions.

GCF of 258,246,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,91,574

LCM of Fractions 92/258,91/246,574/627 is 343252/3

2 92, 91, 574
7 46, 91, 287
46, 13, 41

∴ So the LCM of the given numbers is 2 x 7 x 46 x 13 x 41 = 343252

Least Common Multiple of 92,91,574 with GCF Formula

Least Common Multiple of 92,91,574 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 92,91,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,91,574) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(92,91,574) x common factors =1 x 14 = 14

LCM(92,91,574) = ( 92 × 91 × 574 ) / 14

LCM(92,91,574) = 4805528 / 14

LCM(92,91,574) = 343252


Lets's calculate GCF of 258,246,627

3 258, 246, 627
86, 82, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343252/3

Therefore the LCM of Fractions 92/258,91/246,574/627 is 343252/3

Greatest Common Factor of 258,246,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,246,627 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 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 258,246,627 . The biggest common factor number is the GCF number.
So the greatest common factor 258,246,627 is 3.


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 92/258, 91/246, 574/627

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 92/258, 91/246, 574/627?

Answer: LCM of Numerators as per given numbers 92/258, 91/246, 574/627 is

LCM of Numerators i.e. for 92,91,574 is 343252

GCF of denominators i.e. for 258,246,627 is 3.

Thus, LCM of Fractions is 343252/3.Finally, LCM of Fractions for 92/258, 91/246, 574/627 is 343252/3.