Least Common Multiple of 291/46, 702/66, 390/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/46, 702/66, 390/82 quickly i.e. 170235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/46, 702/66, 390/82 is 170235.

LCM(291/46, 702/66, 390/82) = 170235

LCM of 291/46, 702/66, 390/82

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 291/46,702/66,390/82

Given numbers are 291/46,702/66,390/82

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 291,702,390

Least Common Multiple of Numerators i.e. LCM of 291,702,390 is 340470.

GCF of Denominators means GCF of 46,66,82 as per the given fractions.

GCF of 46,66,82 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,702,390

LCM of Fractions 291/46,702/66,390/82 is 170235

2 291, 702, 390
3 291, 351, 195
13 97, 117, 65
97, 9, 5

∴ So the LCM of the given numbers is 2 x 3 x 13 x 97 x 9 x 5 = 340470

Least Common Multiple of 291,702,390 with GCF Formula

Least Common Multiple of 291,702,390 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 291,702,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,702,390) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(291,702,390) x common factors =3 x 78 = 234

LCM(291,702,390) = ( 291 × 702 × 390 ) / 234

LCM(291,702,390) = 79669980 / 234

LCM(291,702,390) = 340470


Lets's calculate GCF of 46,66,82

2 46, 66, 82
23, 33, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340470/2

Therefore the LCM of Fractions 291/46,702/66,390/82 is 170235

Greatest Common Factor of 46,66,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,66,82 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 46,66,82 . The biggest common factor number is the GCF number.
So the greatest common factor 46,66,82 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 291/46, 702/66, 390/82

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 291/46, 702/66, 390/82?

Answer: LCM of Numerators as per given numbers 291/46, 702/66, 390/82 is

LCM of Numerators i.e. for 291,702,390 is 340470

GCF of denominators i.e. for 46,66,82 is 2.

Thus, LCM of Fractions is 170235.Finally, LCM of Fractions for 291/46, 702/66, 390/82 is 170235.