Least Common Multiple of 36/395, 230/179, 751/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/395, 230/179, 751/684 quickly i.e. 3109140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/395, 230/179, 751/684 is 3109140.

LCM(36/395, 230/179, 751/684) = 3109140

LCM of 36/395, 230/179, 751/684

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 36/395,230/179,751/684

Given numbers are 36/395,230/179,751/684

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 36,230,751

Least Common Multiple of Numerators i.e. LCM of 36,230,751 is 3109140.

GCF of Denominators means GCF of 395,179,684 as per the given fractions.

GCF of 395,179,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,230,751

LCM of Fractions 36/395,230/179,751/684 is 3109140

2 36, 230, 751
18, 115, 751

∴ So the LCM of the given numbers is 2 x 18 x 115 x 751 = 3109140

Least Common Multiple of 36,230,751 with GCF Formula

Least Common Multiple of 36,230,751 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 36,230,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,230,751) = 1

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

GCF(36,230,751) x common factors =1 x 2 = 2

LCM(36,230,751) = ( 36 × 230 × 751 ) / 2

LCM(36,230,751) = 6218280 / 2

LCM(36,230,751) = 3109140


Lets's calculate GCF of 395,179,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3109140/1

Therefore the LCM of Fractions 36/395,230/179,751/684 is 3109140

Greatest Common Factor of 395,179,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,179,684 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 395,179,684 . The biggest common factor number is the GCF number.
So the greatest common factor 395,179,684 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 36/395, 230/179, 751/684

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 36/395, 230/179, 751/684?

Answer: LCM of Numerators as per given numbers 36/395, 230/179, 751/684 is

LCM of Numerators i.e. for 36,230,751 is 3109140

GCF of denominators i.e. for 395,179,684 is 1.

Thus, LCM of Fractions is 3109140.Finally, LCM of Fractions for 36/395, 230/179, 751/684 is 3109140.