Least Common Multiple of 287/13, 302/55, 534/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/13, 302/55, 534/416 quickly i.e. 23141958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/13, 302/55, 534/416 is 23141958.

LCM(287/13, 302/55, 534/416) = 23141958

LCM of 287/13, 302/55, 534/416

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 287/13,302/55,534/416

Given numbers are 287/13,302/55,534/416

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 287,302,534

Least Common Multiple of Numerators i.e. LCM of 287,302,534 is 23141958.

GCF of Denominators means GCF of 13,55,416 as per the given fractions.

GCF of 13,55,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,302,534

LCM of Fractions 287/13,302/55,534/416 is 23141958

2 287, 302, 534
287, 151, 267

∴ So the LCM of the given numbers is 2 x 287 x 151 x 267 = 23141958

Least Common Multiple of 287,302,534 with GCF Formula

Least Common Multiple of 287,302,534 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 287,302,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,302,534) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(287,302,534) x common factors =1 x 2 = 2

LCM(287,302,534) = ( 287 × 302 × 534 ) / 2

LCM(287,302,534) = 46283916 / 2

LCM(287,302,534) = 23141958


Lets's calculate GCF of 13,55,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23141958/1

Therefore the LCM of Fractions 287/13,302/55,534/416 is 23141958

Greatest Common Factor of 13,55,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,55,416 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 13,55,416 . The biggest common factor number is the GCF number.
So the greatest common factor 13,55,416 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 287/13, 302/55, 534/416

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 287/13, 302/55, 534/416?

Answer: LCM of Numerators as per given numbers 287/13, 302/55, 534/416 is

LCM of Numerators i.e. for 287,302,534 is 23141958

GCF of denominators i.e. for 13,55,416 is 1.

Thus, LCM of Fractions is 23141958.Finally, LCM of Fractions for 287/13, 302/55, 534/416 is 23141958.