Least Common Multiple of 45/481, 13/834, 707/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/481, 13/834, 707/460 quickly i.e. 413595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/481, 13/834, 707/460 is 413595.

LCM(45/481, 13/834, 707/460) = 413595

LCM of 45/481, 13/834, 707/460

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 45/481,13/834,707/460

Given numbers are 45/481,13/834,707/460

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 45,13,707

Least Common Multiple of Numerators i.e. LCM of 45,13,707 is 413595.

GCF of Denominators means GCF of 481,834,460 as per the given fractions.

GCF of 481,834,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,13,707

LCM of Fractions 45/481,13/834,707/460 is 413595

Given numbers has no common factors except 1. So, there LCM is their product i.e 413595

Least Common Multiple of 45,13,707 with GCF Formula

Least Common Multiple of 45,13,707 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 45,13,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,13,707) = 1

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

GCF(45,13,707) x common factors =1 x 1 = 1

LCM(45,13,707) = ( 45 × 13 × 707 ) / 1

LCM(45,13,707) = 413595 / 1

LCM(45,13,707) = 413595


Lets's calculate GCF of 481,834,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413595/1

Therefore the LCM of Fractions 45/481,13/834,707/460 is 413595

Greatest Common Factor of 481,834,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,834,460 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 481,834,460 . The biggest common factor number is the GCF number.
So the greatest common factor 481,834,460 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 45/481, 13/834, 707/460

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 45/481, 13/834, 707/460?

Answer: LCM of Numerators as per given numbers 45/481, 13/834, 707/460 is

LCM of Numerators i.e. for 45,13,707 is 413595

GCF of denominators i.e. for 481,834,460 is 1.

Thus, LCM of Fractions is 413595.Finally, LCM of Fractions for 45/481, 13/834, 707/460 is 413595.