Least Common Multiple of 44/184, 71/381, 608/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/184, 71/381, 608/746 quickly i.e. 474848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/184, 71/381, 608/746 is 474848.

LCM(44/184, 71/381, 608/746) = 474848

LCM of 44/184, 71/381, 608/746

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 44/184,71/381,608/746

Given numbers are 44/184,71/381,608/746

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 44,71,608

Least Common Multiple of Numerators i.e. LCM of 44,71,608 is 474848.

GCF of Denominators means GCF of 184,381,746 as per the given fractions.

GCF of 184,381,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,71,608

LCM of Fractions 44/184,71/381,608/746 is 474848

2 44, 71, 608
2 22, 71, 304
11, 71, 152

∴ So the LCM of the given numbers is 2 x 2 x 11 x 71 x 152 = 474848

Least Common Multiple of 44,71,608 with GCF Formula

Least Common Multiple of 44,71,608 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 44,71,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,71,608) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,71,608) x common factors =1 x 4 = 4

LCM(44,71,608) = ( 44 × 71 × 608 ) / 4

LCM(44,71,608) = 1899392 / 4

LCM(44,71,608) = 474848


Lets's calculate GCF of 184,381,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474848/1

Therefore the LCM of Fractions 44/184,71/381,608/746 is 474848

Greatest Common Factor of 184,381,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,381,746 By Matching Biggest Common Factor Method

Factors of 184

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

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

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 184,381,746 . The biggest common factor number is the GCF number.
So the greatest common factor 184,381,746 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 44/184, 71/381, 608/746

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 44/184, 71/381, 608/746?

Answer: LCM of Numerators as per given numbers 44/184, 71/381, 608/746 is

LCM of Numerators i.e. for 44,71,608 is 474848

GCF of denominators i.e. for 184,381,746 is 1.

Thus, LCM of Fractions is 474848.Finally, LCM of Fractions for 44/184, 71/381, 608/746 is 474848.