Least Common Multiple of 4485/608, 1014/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4485/608, 1014/782 quickly i.e. 58305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4485/608, 1014/782 is 58305.

LCM(4485/608, 1014/782) = 58305

LCM of 4485/608, 1014/782

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 4485/608,1014/782

Given numbers are 4485/608,1014/782

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 4485,1014

Least Common Multiple of Numerators i.e. LCM of 4485,1014 is 116610.

GCF of Denominators means GCF of 608,782 as per the given fractions.

GCF of 608,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4485,1014

LCM of Fractions 4485/608,1014/782 is 58305

3 4485, 1014
13 1495, 338
115, 26

∴ So the LCM of the given numbers is 3 x 13 x 115 x 26 = 116610

Least Common Multiple of 4485,1014 with GCF Formula

Least Common Multiple of 4485,1014 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 4485,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4485,1014) = 39

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

GCF(4485,1014) x common factors =39 x 1 = 39

LCM(4485,1014) = ( 4485 × 1014 ) / 39

LCM(4485,1014) = 4547790 / 39

LCM(4485,1014) = 116610


Lets's calculate GCF of 608,782

2 608, 782
304, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116610/2

Therefore the LCM of Fractions 4485/608,1014/782 is 58305

Greatest Common Factor of 608,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,782 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 608,782 . The biggest common factor number is the GCF number.
So the greatest common factor 608,782 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 4485/608, 1014/782

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 4485/608, 1014/782?

Answer: LCM of Numerators as per given numbers 4485/608, 1014/782 is

LCM of Numerators i.e. for 4485,1014 is 116610

GCF of denominators i.e. for 608,782 is 2.

Thus, LCM of Fractions is 58305.Finally, LCM of Fractions for 4485/608, 1014/782 is 58305.