Least Common Multiple of 660/42, 604/54, 197/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/42, 604/54, 197/40 quickly i.e. 9816510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/42, 604/54, 197/40 is 9816510.

LCM(660/42, 604/54, 197/40) = 9816510

LCM of 660/42, 604/54, 197/40

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 660/42,604/54,197/40

Given numbers are 660/42,604/54,197/40

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 660,604,197

Least Common Multiple of Numerators i.e. LCM of 660,604,197 is 19633020.

GCF of Denominators means GCF of 42,54,40 as per the given fractions.

GCF of 42,54,40 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,604,197

LCM of Fractions 660/42,604/54,197/40 is 9816510

2 660, 604, 197
2 330, 302, 197
165, 151, 197

∴ So the LCM of the given numbers is 2 x 2 x 165 x 151 x 197 = 19633020

Least Common Multiple of 660,604,197 with GCF Formula

Least Common Multiple of 660,604,197 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 660,604,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,604,197) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(660,604,197) x common factors =1 x 4 = 4

LCM(660,604,197) = ( 660 × 604 × 197 ) / 4

LCM(660,604,197) = 78532080 / 4

LCM(660,604,197) = 19633020


Lets's calculate GCF of 42,54,40

2 42, 54, 40
21, 27, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19633020/2

Therefore the LCM of Fractions 660/42,604/54,197/40 is 9816510

Greatest Common Factor of 42,54,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,54,40 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 42,54,40 . The biggest common factor number is the GCF number.
So the greatest common factor 42,54,40 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 660/42, 604/54, 197/40

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 660/42, 604/54, 197/40?

Answer: LCM of Numerators as per given numbers 660/42, 604/54, 197/40 is

LCM of Numerators i.e. for 660,604,197 is 19633020

GCF of denominators i.e. for 42,54,40 is 2.

Thus, LCM of Fractions is 9816510.Finally, LCM of Fractions for 660/42, 604/54, 197/40 is 9816510.