Least Common Multiple of 391/463, 136/100, 207/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/463, 136/100, 207/204 quickly i.e. 28152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/463, 136/100, 207/204 is 28152.

LCM(391/463, 136/100, 207/204) = 28152

LCM of 391/463, 136/100, 207/204

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 391/463,136/100,207/204

Given numbers are 391/463,136/100,207/204

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 391,136,207

Least Common Multiple of Numerators i.e. LCM of 391,136,207 is 28152.

GCF of Denominators means GCF of 463,100,204 as per the given fractions.

GCF of 463,100,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,136,207

LCM of Fractions 391/463,136/100,207/204 is 28152

17 391, 136, 207
23 23, 8, 207
1, 8, 9

∴ So the LCM of the given numbers is 17 x 23 x 1 x 8 x 9 = 28152

Least Common Multiple of 391,136,207 with GCF Formula

Least Common Multiple of 391,136,207 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 391,136,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,136,207) = 1

common factors(in case of two or more numbers have common factors) = 391

GCF(391,136,207) x common factors =1 x 391 = 391

LCM(391,136,207) = ( 391 × 136 × 207 ) / 391

LCM(391,136,207) = 11007432 / 391

LCM(391,136,207) = 28152


Lets's calculate GCF of 463,100,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28152/1

Therefore the LCM of Fractions 391/463,136/100,207/204 is 28152

Greatest Common Factor of 463,100,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,100,204 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 463,100,204 . The biggest common factor number is the GCF number.
So the greatest common factor 463,100,204 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 391/463, 136/100, 207/204

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 391/463, 136/100, 207/204?

Answer: LCM of Numerators as per given numbers 391/463, 136/100, 207/204 is

LCM of Numerators i.e. for 391,136,207 is 28152

GCF of denominators i.e. for 463,100,204 is 1.

Thus, LCM of Fractions is 28152.Finally, LCM of Fractions for 391/463, 136/100, 207/204 is 28152.