Least Common Multiple of 354/29, 306/46, 645/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/29, 306/46, 645/10 quickly i.e. 3881610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/29, 306/46, 645/10 is 3881610.

LCM(354/29, 306/46, 645/10) = 3881610

LCM of 354/29, 306/46, 645/10

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 354/29,306/46,645/10

Given numbers are 354/29,306/46,645/10

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 354,306,645

Least Common Multiple of Numerators i.e. LCM of 354,306,645 is 3881610.

GCF of Denominators means GCF of 29,46,10 as per the given fractions.

GCF of 29,46,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,306,645

LCM of Fractions 354/29,306/46,645/10 is 3881610

2 354, 306, 645
3 177, 153, 645
59, 51, 215

∴ So the LCM of the given numbers is 2 x 3 x 59 x 51 x 215 = 3881610

Least Common Multiple of 354,306,645 with GCF Formula

Least Common Multiple of 354,306,645 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 354,306,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,306,645) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(354,306,645) x common factors =3 x 6 = 18

LCM(354,306,645) = ( 354 × 306 × 645 ) / 18

LCM(354,306,645) = 69868980 / 18

LCM(354,306,645) = 3881610


Lets's calculate GCF of 29,46,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3881610/1

Therefore the LCM of Fractions 354/29,306/46,645/10 is 3881610

Greatest Common Factor of 29,46,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,46,10 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 29,46,10 . The biggest common factor number is the GCF number.
So the greatest common factor 29,46,10 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 354/29, 306/46, 645/10

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 354/29, 306/46, 645/10?

Answer: LCM of Numerators as per given numbers 354/29, 306/46, 645/10 is

LCM of Numerators i.e. for 354,306,645 is 3881610

GCF of denominators i.e. for 29,46,10 is 1.

Thus, LCM of Fractions is 3881610.Finally, LCM of Fractions for 354/29, 306/46, 645/10 is 3881610.