Least Common Multiple of 374/58, 1584/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/58, 1584/406 quickly i.e. 26928/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/58, 1584/406 is 26928/58.

LCM(374/58, 1584/406) = 26928/58

LCM of 374/58, 1584/406

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 374/58,1584/406

Given numbers are 374/58,1584/406

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 374,1584

Least Common Multiple of Numerators i.e. LCM of 374,1584 is 26928.

GCF of Denominators means GCF of 58,406 as per the given fractions.

GCF of 58,406 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,1584

LCM of Fractions 374/58,1584/406 is 26928/58

2 374, 1584
11 187, 792
17, 72

∴ So the LCM of the given numbers is 2 x 11 x 17 x 72 = 26928

Least Common Multiple of 374,1584 with GCF Formula

Least Common Multiple of 374,1584 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 374,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,1584) = 22

common factors(in case of two or more numbers have common factors) = 1

GCF(374,1584) x common factors =22 x 1 = 22

LCM(374,1584) = ( 374 × 1584 ) / 22

LCM(374,1584) = 592416 / 22

LCM(374,1584) = 26928


Lets's calculate GCF of 58,406

2 58, 406
29 29, 203
1, 7

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26928/58

Therefore the LCM of Fractions 374/58,1584/406 is 26928/58

Greatest Common Factor of 58,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,406 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 58,406 . The biggest common factor number is the GCF number.
So the greatest common factor 58,406 is 58.


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 374/58, 1584/406

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 374/58, 1584/406?

Answer: LCM of Numerators as per given numbers 374/58, 1584/406 is

LCM of Numerators i.e. for 374,1584 is 26928

GCF of denominators i.e. for 58,406 is 58.

Thus, LCM of Fractions is 26928/58.Finally, LCM of Fractions for 374/58, 1584/406 is 26928/58.