Least Common Multiple of 205/79, 146/18, 174/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/79, 146/18, 174/800 quickly i.e. 2603910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/79, 146/18, 174/800 is 2603910.

LCM(205/79, 146/18, 174/800) = 2603910

LCM of 205/79, 146/18, 174/800

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 205/79,146/18,174/800

Given numbers are 205/79,146/18,174/800

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 205,146,174

Least Common Multiple of Numerators i.e. LCM of 205,146,174 is 2603910.

GCF of Denominators means GCF of 79,18,800 as per the given fractions.

GCF of 79,18,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,146,174

LCM of Fractions 205/79,146/18,174/800 is 2603910

2 205, 146, 174
205, 73, 87

∴ So the LCM of the given numbers is 2 x 205 x 73 x 87 = 2603910

Least Common Multiple of 205,146,174 with GCF Formula

Least Common Multiple of 205,146,174 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 205,146,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,146,174) = 1

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

GCF(205,146,174) x common factors =1 x 2 = 2

LCM(205,146,174) = ( 205 × 146 × 174 ) / 2

LCM(205,146,174) = 5207820 / 2

LCM(205,146,174) = 2603910


Lets's calculate GCF of 79,18,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2603910/1

Therefore the LCM of Fractions 205/79,146/18,174/800 is 2603910

Greatest Common Factor of 79,18,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,18,800 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 79,18,800 . The biggest common factor number is the GCF number.
So the greatest common factor 79,18,800 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 205/79, 146/18, 174/800

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 205/79, 146/18, 174/800?

Answer: LCM of Numerators as per given numbers 205/79, 146/18, 174/800 is

LCM of Numerators i.e. for 205,146,174 is 2603910

GCF of denominators i.e. for 79,18,800 is 1.

Thus, LCM of Fractions is 2603910.Finally, LCM of Fractions for 205/79, 146/18, 174/800 is 2603910.