Least Common Multiple of 20/43, 174/60, 685/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/43, 174/60, 685/666 quickly i.e. 238380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/43, 174/60, 685/666 is 238380.

LCM(20/43, 174/60, 685/666) = 238380

LCM of 20/43, 174/60, 685/666

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 20/43,174/60,685/666

Given numbers are 20/43,174/60,685/666

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 20,174,685

Least Common Multiple of Numerators i.e. LCM of 20,174,685 is 238380.

GCF of Denominators means GCF of 43,60,666 as per the given fractions.

GCF of 43,60,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,174,685

LCM of Fractions 20/43,174/60,685/666 is 238380

2 20, 174, 685
5 10, 87, 685
2, 87, 137

∴ So the LCM of the given numbers is 2 x 5 x 2 x 87 x 137 = 238380

Least Common Multiple of 20,174,685 with GCF Formula

Least Common Multiple of 20,174,685 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 20,174,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,174,685) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(20,174,685) x common factors =1 x 10 = 10

LCM(20,174,685) = ( 20 × 174 × 685 ) / 10

LCM(20,174,685) = 2383800 / 10

LCM(20,174,685) = 238380


Lets's calculate GCF of 43,60,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238380/1

Therefore the LCM of Fractions 20/43,174/60,685/666 is 238380

Greatest Common Factor of 43,60,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,60,666 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 43,60,666 . The biggest common factor number is the GCF number.
So the greatest common factor 43,60,666 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 20/43, 174/60, 685/666

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 20/43, 174/60, 685/666?

Answer: LCM of Numerators as per given numbers 20/43, 174/60, 685/666 is

LCM of Numerators i.e. for 20,174,685 is 238380

GCF of denominators i.e. for 43,60,666 is 1.

Thus, LCM of Fractions is 238380.Finally, LCM of Fractions for 20/43, 174/60, 685/666 is 238380.