Least Common Multiple of 286/67, 481/71, 703/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/67, 481/71, 703/760 quickly i.e. 201058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/67, 481/71, 703/760 is 201058.

LCM(286/67, 481/71, 703/760) = 201058

LCM of 286/67, 481/71, 703/760

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 286/67,481/71,703/760

Given numbers are 286/67,481/71,703/760

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 286,481,703

Least Common Multiple of Numerators i.e. LCM of 286,481,703 is 201058.

GCF of Denominators means GCF of 67,71,760 as per the given fractions.

GCF of 67,71,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,481,703

LCM of Fractions 286/67,481/71,703/760 is 201058

13 286, 481, 703
37 22, 37, 703
22, 1, 19

∴ So the LCM of the given numbers is 13 x 37 x 22 x 1 x 19 = 201058

Least Common Multiple of 286,481,703 with GCF Formula

Least Common Multiple of 286,481,703 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 286,481,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,481,703) = 1

common factors(in case of two or more numbers have common factors) = 481

GCF(286,481,703) x common factors =1 x 481 = 481

LCM(286,481,703) = ( 286 × 481 × 703 ) / 481

LCM(286,481,703) = 96708898 / 481

LCM(286,481,703) = 201058


Lets's calculate GCF of 67,71,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201058/1

Therefore the LCM of Fractions 286/67,481/71,703/760 is 201058

Greatest Common Factor of 67,71,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,71,760 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 67,71,760 . The biggest common factor number is the GCF number.
So the greatest common factor 67,71,760 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 286/67, 481/71, 703/760

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 286/67, 481/71, 703/760?

Answer: LCM of Numerators as per given numbers 286/67, 481/71, 703/760 is

LCM of Numerators i.e. for 286,481,703 is 201058

GCF of denominators i.e. for 67,71,760 is 1.

Thus, LCM of Fractions is 201058.Finally, LCM of Fractions for 286/67, 481/71, 703/760 is 201058.