Least Common Multiple of 436/68, 214/30, 345/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/68, 214/30, 345/147 quickly i.e. 16094940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/68, 214/30, 345/147 is 16094940.

LCM(436/68, 214/30, 345/147) = 16094940

LCM of 436/68, 214/30, 345/147

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 436/68,214/30,345/147

Given numbers are 436/68,214/30,345/147

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 436,214,345

Least Common Multiple of Numerators i.e. LCM of 436,214,345 is 16094940.

GCF of Denominators means GCF of 68,30,147 as per the given fractions.

GCF of 68,30,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,214,345

LCM of Fractions 436/68,214/30,345/147 is 16094940

2 436, 214, 345
218, 107, 345

∴ So the LCM of the given numbers is 2 x 218 x 107 x 345 = 16094940

Least Common Multiple of 436,214,345 with GCF Formula

Least Common Multiple of 436,214,345 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 436,214,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,214,345) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(436,214,345) x common factors =1 x 2 = 2

LCM(436,214,345) = ( 436 × 214 × 345 ) / 2

LCM(436,214,345) = 32189880 / 2

LCM(436,214,345) = 16094940


Lets's calculate GCF of 68,30,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16094940/1

Therefore the LCM of Fractions 436/68,214/30,345/147 is 16094940

Greatest Common Factor of 68,30,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,30,147 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 68,30,147 . The biggest common factor number is the GCF number.
So the greatest common factor 68,30,147 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 436/68, 214/30, 345/147

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 436/68, 214/30, 345/147?

Answer: LCM of Numerators as per given numbers 436/68, 214/30, 345/147 is

LCM of Numerators i.e. for 436,214,345 is 16094940

GCF of denominators i.e. for 68,30,147 is 1.

Thus, LCM of Fractions is 16094940.Finally, LCM of Fractions for 436/68, 214/30, 345/147 is 16094940.