Least Common Multiple of 480/14, 645/12, 832/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/14, 645/12, 832/685 quickly i.e. 536640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/14, 645/12, 832/685 is 536640.

LCM(480/14, 645/12, 832/685) = 536640

LCM of 480/14, 645/12, 832/685

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 480/14,645/12,832/685

Given numbers are 480/14,645/12,832/685

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 480,645,832

Least Common Multiple of Numerators i.e. LCM of 480,645,832 is 536640.

GCF of Denominators means GCF of 14,12,685 as per the given fractions.

GCF of 14,12,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,645,832

LCM of Fractions 480/14,645/12,832/685 is 536640

2 480, 645, 832
2 240, 645, 416
2 120, 645, 208
2 60, 645, 104
2 30, 645, 52
3 15, 645, 26
5 5, 215, 26
1, 43, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 43 x 26 = 536640

Least Common Multiple of 480,645,832 with GCF Formula

Least Common Multiple of 480,645,832 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 480,645,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,645,832) = 1

common factors(in case of two or more numbers have common factors) = 480

GCF(480,645,832) x common factors =1 x 480 = 480

LCM(480,645,832) = ( 480 × 645 × 832 ) / 480

LCM(480,645,832) = 257587200 / 480

LCM(480,645,832) = 536640


Lets's calculate GCF of 14,12,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536640/1

Therefore the LCM of Fractions 480/14,645/12,832/685 is 536640

Greatest Common Factor of 14,12,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,12,685 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 14,12,685 . The biggest common factor number is the GCF number.
So the greatest common factor 14,12,685 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 480/14, 645/12, 832/685

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 480/14, 645/12, 832/685?

Answer: LCM of Numerators as per given numbers 480/14, 645/12, 832/685 is

LCM of Numerators i.e. for 480,645,832 is 536640

GCF of denominators i.e. for 14,12,685 is 1.

Thus, LCM of Fractions is 536640.Finally, LCM of Fractions for 480/14, 645/12, 832/685 is 536640.