Least Common Multiple of 58/374, 333/380, 718/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/374, 333/380, 718/654 quickly i.e. 3466863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/374, 333/380, 718/654 is 3466863.

LCM(58/374, 333/380, 718/654) = 3466863

LCM of 58/374, 333/380, 718/654

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 58/374,333/380,718/654

Given numbers are 58/374,333/380,718/654

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 58,333,718

Least Common Multiple of Numerators i.e. LCM of 58,333,718 is 6933726.

GCF of Denominators means GCF of 374,380,654 as per the given fractions.

GCF of 374,380,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,333,718

LCM of Fractions 58/374,333/380,718/654 is 3466863

2 58, 333, 718
29, 333, 359

∴ So the LCM of the given numbers is 2 x 29 x 333 x 359 = 6933726

Least Common Multiple of 58,333,718 with GCF Formula

Least Common Multiple of 58,333,718 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 58,333,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,333,718) = 1

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

GCF(58,333,718) x common factors =1 x 2 = 2

LCM(58,333,718) = ( 58 × 333 × 718 ) / 2

LCM(58,333,718) = 13867452 / 2

LCM(58,333,718) = 6933726


Lets's calculate GCF of 374,380,654

2 374, 380, 654
187, 190, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6933726/2

Therefore the LCM of Fractions 58/374,333/380,718/654 is 3466863

Greatest Common Factor of 374,380,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,380,654 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 374,380,654 . The biggest common factor number is the GCF number.
So the greatest common factor 374,380,654 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 58/374, 333/380, 718/654

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 58/374, 333/380, 718/654?

Answer: LCM of Numerators as per given numbers 58/374, 333/380, 718/654 is

LCM of Numerators i.e. for 58,333,718 is 6933726

GCF of denominators i.e. for 374,380,654 is 2.

Thus, LCM of Fractions is 3466863.Finally, LCM of Fractions for 58/374, 333/380, 718/654 is 3466863.