Least Common Multiple of 74/23, 368/42, 797/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/23, 368/42, 797/184 quickly i.e. 10851952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/23, 368/42, 797/184 is 10851952.

LCM(74/23, 368/42, 797/184) = 10851952

LCM of 74/23, 368/42, 797/184

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 74/23,368/42,797/184

Given numbers are 74/23,368/42,797/184

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 74,368,797

Least Common Multiple of Numerators i.e. LCM of 74,368,797 is 10851952.

GCF of Denominators means GCF of 23,42,184 as per the given fractions.

GCF of 23,42,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,368,797

LCM of Fractions 74/23,368/42,797/184 is 10851952

2 74, 368, 797
37, 184, 797

∴ So the LCM of the given numbers is 2 x 37 x 184 x 797 = 10851952

Least Common Multiple of 74,368,797 with GCF Formula

Least Common Multiple of 74,368,797 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 74,368,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,368,797) = 1

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

GCF(74,368,797) x common factors =1 x 2 = 2

LCM(74,368,797) = ( 74 × 368 × 797 ) / 2

LCM(74,368,797) = 21703904 / 2

LCM(74,368,797) = 10851952


Lets's calculate GCF of 23,42,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10851952/1

Therefore the LCM of Fractions 74/23,368/42,797/184 is 10851952

Greatest Common Factor of 23,42,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,42,184 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 23,42,184 . The biggest common factor number is the GCF number.
So the greatest common factor 23,42,184 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 74/23, 368/42, 797/184

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 74/23, 368/42, 797/184?

Answer: LCM of Numerators as per given numbers 74/23, 368/42, 797/184 is

LCM of Numerators i.e. for 74,368,797 is 10851952

GCF of denominators i.e. for 23,42,184 is 1.

Thus, LCM of Fractions is 10851952.Finally, LCM of Fractions for 74/23, 368/42, 797/184 is 10851952.