Least Common Multiple of 184/87, 476/57, 306/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/87, 476/57, 306/126 quickly i.e. 65688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/87, 476/57, 306/126 is 65688.

LCM(184/87, 476/57, 306/126) = 65688

LCM of 184/87, 476/57, 306/126

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 184/87,476/57,306/126

Given numbers are 184/87,476/57,306/126

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 184,476,306

Least Common Multiple of Numerators i.e. LCM of 184,476,306 is 197064.

GCF of Denominators means GCF of 87,57,126 as per the given fractions.

GCF of 87,57,126 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,476,306

LCM of Fractions 184/87,476/57,306/126 is 65688

2 184, 476, 306
2 92, 238, 153
17 46, 119, 153
46, 7, 9

∴ So the LCM of the given numbers is 2 x 2 x 17 x 46 x 7 x 9 = 197064

Least Common Multiple of 184,476,306 with GCF Formula

Least Common Multiple of 184,476,306 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 184,476,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,476,306) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(184,476,306) x common factors =2 x 68 = 136

LCM(184,476,306) = ( 184 × 476 × 306 ) / 136

LCM(184,476,306) = 26800704 / 136

LCM(184,476,306) = 197064


Lets's calculate GCF of 87,57,126

3 87, 57, 126
29, 19, 42

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197064/3

Therefore the LCM of Fractions 184/87,476/57,306/126 is 65688

Greatest Common Factor of 87,57,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,57,126 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 87,57,126 . The biggest common factor number is the GCF number.
So the greatest common factor 87,57,126 is 3.


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 184/87, 476/57, 306/126

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 184/87, 476/57, 306/126?

Answer: LCM of Numerators as per given numbers 184/87, 476/57, 306/126 is

LCM of Numerators i.e. for 184,476,306 is 197064

GCF of denominators i.e. for 87,57,126 is 3.

Thus, LCM of Fractions is 65688.Finally, LCM of Fractions for 184/87, 476/57, 306/126 is 65688.