Least Common Multiple of 217/12, 8178/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/12, 8178/460 quickly i.e. 1774626/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/12, 8178/460 is 1774626/4.

LCM(217/12, 8178/460) = 1774626/4

LCM of 217/12, 8178/460

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 217/12,8178/460

Given numbers are 217/12,8178/460

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 217,8178

Least Common Multiple of Numerators i.e. LCM of 217,8178 is 1774626.

GCF of Denominators means GCF of 12,460 as per the given fractions.

GCF of 12,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,8178

LCM of Fractions 217/12,8178/460 is 1774626/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1774626

Least Common Multiple of 217,8178 with GCF Formula

Least Common Multiple of 217,8178 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 217,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,8178) = 1

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

GCF(217,8178) x common factors =1 x 1 = 1

LCM(217,8178) = ( 217 × 8178 ) / 1

LCM(217,8178) = 1774626 / 1

LCM(217,8178) = 1774626


Lets's calculate GCF of 12,460

2 12, 460
2 6, 230
3, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1774626/4

Therefore the LCM of Fractions 217/12,8178/460 is 1774626/4

Greatest Common Factor of 12,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,460 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 12,460 . The biggest common factor number is the GCF number.
So the greatest common factor 12,460 is 4.


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 217/12, 8178/460

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 217/12, 8178/460?

Answer: LCM of Numerators as per given numbers 217/12, 8178/460 is

LCM of Numerators i.e. for 217,8178 is 1774626

GCF of denominators i.e. for 12,460 is 4.

Thus, LCM of Fractions is 1774626/4.Finally, LCM of Fractions for 217/12, 8178/460 is 1774626/4.