Least Common Multiple of 287/34, 155/30, 684/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/34, 155/30, 684/136 quickly i.e. 15213870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/34, 155/30, 684/136 is 15213870.

LCM(287/34, 155/30, 684/136) = 15213870

LCM of 287/34, 155/30, 684/136

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 287/34,155/30,684/136

Given numbers are 287/34,155/30,684/136

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 287,155,684

Least Common Multiple of Numerators i.e. LCM of 287,155,684 is 30427740.

GCF of Denominators means GCF of 34,30,136 as per the given fractions.

GCF of 34,30,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,155,684

LCM of Fractions 287/34,155/30,684/136 is 15213870

Given numbers has no common factors except 1. So, there LCM is their product i.e 30427740

Least Common Multiple of 287,155,684 with GCF Formula

Least Common Multiple of 287,155,684 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 287,155,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,155,684) = 1

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

GCF(287,155,684) x common factors =1 x 1 = 1

LCM(287,155,684) = ( 287 × 155 × 684 ) / 1

LCM(287,155,684) = 30427740 / 1

LCM(287,155,684) = 30427740


Lets's calculate GCF of 34,30,136

2 34, 30, 136
17, 15, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30427740/2

Therefore the LCM of Fractions 287/34,155/30,684/136 is 15213870

Greatest Common Factor of 34,30,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,30,136 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 34,30,136 . The biggest common factor number is the GCF number.
So the greatest common factor 34,30,136 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 287/34, 155/30, 684/136

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 287/34, 155/30, 684/136?

Answer: LCM of Numerators as per given numbers 287/34, 155/30, 684/136 is

LCM of Numerators i.e. for 287,155,684 is 30427740

GCF of denominators i.e. for 34,30,136 is 2.

Thus, LCM of Fractions is 15213870.Finally, LCM of Fractions for 287/34, 155/30, 684/136 is 15213870.