Least Common Multiple of 374/16, 961/58, 448/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/16, 961/58, 448/584 quickly i.e. 40254368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/16, 961/58, 448/584 is 40254368.

LCM(374/16, 961/58, 448/584) = 40254368

LCM of 374/16, 961/58, 448/584

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 374/16,961/58,448/584

Given numbers are 374/16,961/58,448/584

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 374,961,448

Least Common Multiple of Numerators i.e. LCM of 374,961,448 is 80508736.

GCF of Denominators means GCF of 16,58,584 as per the given fractions.

GCF of 16,58,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,961,448

LCM of Fractions 374/16,961/58,448/584 is 40254368

2 374, 961, 448
187, 961, 224

∴ So the LCM of the given numbers is 2 x 187 x 961 x 224 = 80508736

Least Common Multiple of 374,961,448 with GCF Formula

Least Common Multiple of 374,961,448 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 374,961,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,961,448) = 1

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

GCF(374,961,448) x common factors =1 x 2 = 2

LCM(374,961,448) = ( 374 × 961 × 448 ) / 2

LCM(374,961,448) = 161017472 / 2

LCM(374,961,448) = 80508736


Lets's calculate GCF of 16,58,584

2 16, 58, 584
8, 29, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80508736/2

Therefore the LCM of Fractions 374/16,961/58,448/584 is 40254368

Greatest Common Factor of 16,58,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,58,584 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 58

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

1,2,29,58

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 16,58,584 . The biggest common factor number is the GCF number.
So the greatest common factor 16,58,584 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 374/16, 961/58, 448/584

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 374/16, 961/58, 448/584?

Answer: LCM of Numerators as per given numbers 374/16, 961/58, 448/584 is

LCM of Numerators i.e. for 374,961,448 is 80508736

GCF of denominators i.e. for 16,58,584 is 2.

Thus, LCM of Fractions is 40254368.Finally, LCM of Fractions for 374/16, 961/58, 448/584 is 40254368.