Least Common Multiple of 690/99, 635/39, 668/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/99, 635/39, 668/45 quickly i.e. 9756140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/99, 635/39, 668/45 is 9756140.

LCM(690/99, 635/39, 668/45) = 9756140

LCM of 690/99, 635/39, 668/45

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 690/99,635/39,668/45

Given numbers are 690/99,635/39,668/45

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 690,635,668

Least Common Multiple of Numerators i.e. LCM of 690,635,668 is 29268420.

GCF of Denominators means GCF of 99,39,45 as per the given fractions.

GCF of 99,39,45 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,635,668

LCM of Fractions 690/99,635/39,668/45 is 9756140

2 690, 635, 668
5 345, 635, 334
69, 127, 334

∴ So the LCM of the given numbers is 2 x 5 x 69 x 127 x 334 = 29268420

Least Common Multiple of 690,635,668 with GCF Formula

Least Common Multiple of 690,635,668 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 690,635,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,635,668) = 1

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

GCF(690,635,668) x common factors =1 x 10 = 10

LCM(690,635,668) = ( 690 × 635 × 668 ) / 10

LCM(690,635,668) = 292684200 / 10

LCM(690,635,668) = 29268420


Lets's calculate GCF of 99,39,45

3 99, 39, 45
33, 13, 15

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29268420/3

Therefore the LCM of Fractions 690/99,635/39,668/45 is 9756140

Greatest Common Factor of 99,39,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,39,45 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 99,39,45 . The biggest common factor number is the GCF number.
So the greatest common factor 99,39,45 is 3.


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 690/99, 635/39, 668/45

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 690/99, 635/39, 668/45?

Answer: LCM of Numerators as per given numbers 690/99, 635/39, 668/45 is

LCM of Numerators i.e. for 690,635,668 is 29268420

GCF of denominators i.e. for 99,39,45 is 3.

Thus, LCM of Fractions is 9756140.Finally, LCM of Fractions for 690/99, 635/39, 668/45 is 9756140.