Least Common Multiple of 300/188, 279/820, 682/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/188, 279/820, 682/146 quickly i.e. 153450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/188, 279/820, 682/146 is 153450.

LCM(300/188, 279/820, 682/146) = 153450

LCM of 300/188, 279/820, 682/146

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 300/188,279/820,682/146

Given numbers are 300/188,279/820,682/146

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 300,279,682

Least Common Multiple of Numerators i.e. LCM of 300,279,682 is 306900.

GCF of Denominators means GCF of 188,820,146 as per the given fractions.

GCF of 188,820,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,279,682

LCM of Fractions 300/188,279/820,682/146 is 153450

2 300, 279, 682
3 150, 279, 341
31 50, 93, 341
50, 3, 11

∴ So the LCM of the given numbers is 2 x 3 x 31 x 50 x 3 x 11 = 306900

Least Common Multiple of 300,279,682 with GCF Formula

Least Common Multiple of 300,279,682 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 300,279,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,279,682) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(300,279,682) x common factors =1 x 186 = 186

LCM(300,279,682) = ( 300 × 279 × 682 ) / 186

LCM(300,279,682) = 57083400 / 186

LCM(300,279,682) = 306900


Lets's calculate GCF of 188,820,146

2 188, 820, 146
94, 410, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306900/2

Therefore the LCM of Fractions 300/188,279/820,682/146 is 153450

Greatest Common Factor of 188,820,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,820,146 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 188,820,146 . The biggest common factor number is the GCF number.
So the greatest common factor 188,820,146 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 300/188, 279/820, 682/146

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 300/188, 279/820, 682/146?

Answer: LCM of Numerators as per given numbers 300/188, 279/820, 682/146 is

LCM of Numerators i.e. for 300,279,682 is 306900

GCF of denominators i.e. for 188,820,146 is 2.

Thus, LCM of Fractions is 153450.Finally, LCM of Fractions for 300/188, 279/820, 682/146 is 153450.