Least Common Multiple of 396/63, 919/40, 668/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/63, 919/40, 668/60 quickly i.e. 60775308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/63, 919/40, 668/60 is 60775308.

LCM(396/63, 919/40, 668/60) = 60775308

LCM of 396/63, 919/40, 668/60

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 396/63,919/40,668/60

Given numbers are 396/63,919/40,668/60

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 396,919,668

Least Common Multiple of Numerators i.e. LCM of 396,919,668 is 60775308.

GCF of Denominators means GCF of 63,40,60 as per the given fractions.

GCF of 63,40,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,919,668

LCM of Fractions 396/63,919/40,668/60 is 60775308

2 396, 919, 668
2 198, 919, 334
99, 919, 167

∴ So the LCM of the given numbers is 2 x 2 x 99 x 919 x 167 = 60775308

Least Common Multiple of 396,919,668 with GCF Formula

Least Common Multiple of 396,919,668 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 396,919,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,919,668) = 1

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

GCF(396,919,668) x common factors =1 x 4 = 4

LCM(396,919,668) = ( 396 × 919 × 668 ) / 4

LCM(396,919,668) = 243101232 / 4

LCM(396,919,668) = 60775308


Lets's calculate GCF of 63,40,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60775308/1

Therefore the LCM of Fractions 396/63,919/40,668/60 is 60775308

Greatest Common Factor of 63,40,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,40,60 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 40

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

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

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

Greatest Common Factor

We found the factors 63,40,60 . The biggest common factor number is the GCF number.
So the greatest common factor 63,40,60 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 396/63, 919/40, 668/60

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 396/63, 919/40, 668/60?

Answer: LCM of Numerators as per given numbers 396/63, 919/40, 668/60 is

LCM of Numerators i.e. for 396,919,668 is 60775308

GCF of denominators i.e. for 63,40,60 is 1.

Thus, LCM of Fractions is 60775308.Finally, LCM of Fractions for 396/63, 919/40, 668/60 is 60775308.