Least Common Multiple of 54/162, 35/367, 414/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/162, 35/367, 414/312 quickly i.e. 43470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/162, 35/367, 414/312 is 43470.

LCM(54/162, 35/367, 414/312) = 43470

LCM of 54/162, 35/367, 414/312

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 54/162,35/367,414/312

Given numbers are 54/162,35/367,414/312

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 54,35,414

Least Common Multiple of Numerators i.e. LCM of 54,35,414 is 43470.

GCF of Denominators means GCF of 162,367,312 as per the given fractions.

GCF of 162,367,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,35,414

LCM of Fractions 54/162,35/367,414/312 is 43470

2 54, 35, 414
3 27, 35, 207
3 9, 35, 69
3, 35, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 35 x 23 = 43470

Least Common Multiple of 54,35,414 with GCF Formula

Least Common Multiple of 54,35,414 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 54,35,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,35,414) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(54,35,414) x common factors =1 x 18 = 18

LCM(54,35,414) = ( 54 × 35 × 414 ) / 18

LCM(54,35,414) = 782460 / 18

LCM(54,35,414) = 43470


Lets's calculate GCF of 162,367,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43470/1

Therefore the LCM of Fractions 54/162,35/367,414/312 is 43470

Greatest Common Factor of 162,367,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,367,312 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 162,367,312 . The biggest common factor number is the GCF number.
So the greatest common factor 162,367,312 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 54/162, 35/367, 414/312

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 54/162, 35/367, 414/312?

Answer: LCM of Numerators as per given numbers 54/162, 35/367, 414/312 is

LCM of Numerators i.e. for 54,35,414 is 43470

GCF of denominators i.e. for 162,367,312 is 1.

Thus, LCM of Fractions is 43470.Finally, LCM of Fractions for 54/162, 35/367, 414/312 is 43470.