Least Common Multiple of 12/417, 87/217, 680/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/417, 87/217, 680/207 quickly i.e. 59160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/417, 87/217, 680/207 is 59160.

LCM(12/417, 87/217, 680/207) = 59160

LCM of 12/417, 87/217, 680/207

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 12/417,87/217,680/207

Given numbers are 12/417,87/217,680/207

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 12,87,680

Least Common Multiple of Numerators i.e. LCM of 12,87,680 is 59160.

GCF of Denominators means GCF of 417,217,207 as per the given fractions.

GCF of 417,217,207 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,87,680

LCM of Fractions 12/417,87/217,680/207 is 59160

2 12, 87, 680
2 6, 87, 340
3 3, 87, 170
1, 29, 170

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 29 x 170 = 59160

Least Common Multiple of 12,87,680 with GCF Formula

Least Common Multiple of 12,87,680 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 12,87,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,87,680) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,87,680) x common factors =1 x 12 = 12

LCM(12,87,680) = ( 12 × 87 × 680 ) / 12

LCM(12,87,680) = 709920 / 12

LCM(12,87,680) = 59160


Lets's calculate GCF of 417,217,207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59160/1

Therefore the LCM of Fractions 12/417,87/217,680/207 is 59160

Greatest Common Factor of 417,217,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,217,207 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 417,217,207 . The biggest common factor number is the GCF number.
So the greatest common factor 417,217,207 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 12/417, 87/217, 680/207

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 12/417, 87/217, 680/207?

Answer: LCM of Numerators as per given numbers 12/417, 87/217, 680/207 is

LCM of Numerators i.e. for 12,87,680 is 59160

GCF of denominators i.e. for 417,217,207 is 1.

Thus, LCM of Fractions is 59160.Finally, LCM of Fractions for 12/417, 87/217, 680/207 is 59160.