Least Common Multiple of 717/46, 436/8268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/46, 436/8268 quickly i.e. 156306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/46, 436/8268 is 156306.

LCM(717/46, 436/8268) = 156306

LCM of 717/46, 436/8268

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 717/46,436/8268

Given numbers are 717/46,436/8268

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 717,436

Least Common Multiple of Numerators i.e. LCM of 717,436 is 312612.

GCF of Denominators means GCF of 46,8268 as per the given fractions.

GCF of 46,8268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,436

LCM of Fractions 717/46,436/8268 is 156306

Given numbers has no common factors except 1. So, there LCM is their product i.e 312612

Least Common Multiple of 717,436 with GCF Formula

Least Common Multiple of 717,436 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 717,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,436) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(717,436) x common factors =1 x 1 = 1

LCM(717,436) = ( 717 × 436 ) / 1

LCM(717,436) = 312612 / 1

LCM(717,436) = 312612


Lets's calculate GCF of 46,8268

2 46, 8268
23, 4134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312612/2

Therefore the LCM of Fractions 717/46,436/8268 is 156306

Greatest Common Factor of 46,8268 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,8268 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 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268

Greatest Common Factor

We found the factors 46,8268 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8268 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 717/46, 436/8268

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 717/46, 436/8268?

Answer: LCM of Numerators as per given numbers 717/46, 436/8268 is

LCM of Numerators i.e. for 717,436 is 312612

GCF of denominators i.e. for 46,8268 is 2.

Thus, LCM of Fractions is 156306.Finally, LCM of Fractions for 717/46, 436/8268 is 156306.