Least Common Multiple of 780/47, 416/57, 481/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/47, 416/57, 481/489 quickly i.e. 230880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/47, 416/57, 481/489 is 230880.

LCM(780/47, 416/57, 481/489) = 230880

LCM of 780/47, 416/57, 481/489

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 780/47,416/57,481/489

Given numbers are 780/47,416/57,481/489

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 780,416,481

Least Common Multiple of Numerators i.e. LCM of 780,416,481 is 230880.

GCF of Denominators means GCF of 47,57,489 as per the given fractions.

GCF of 47,57,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,416,481

LCM of Fractions 780/47,416/57,481/489 is 230880

2 780, 416, 481
2 390, 208, 481
13 195, 104, 481
15, 8, 37

∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 8 x 37 = 230880

Least Common Multiple of 780,416,481 with GCF Formula

Least Common Multiple of 780,416,481 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 780,416,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,416,481) = 13

common factors(in case of two or more numbers have common factors) = 52

GCF(780,416,481) x common factors =13 x 52 = 676

LCM(780,416,481) = ( 780 × 416 × 481 ) / 676

LCM(780,416,481) = 156074880 / 676

LCM(780,416,481) = 230880


Lets's calculate GCF of 47,57,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230880/1

Therefore the LCM of Fractions 780/47,416/57,481/489 is 230880

Greatest Common Factor of 47,57,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,57,489 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 47,57,489 . The biggest common factor number is the GCF number.
So the greatest common factor 47,57,489 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 780/47, 416/57, 481/489

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 780/47, 416/57, 481/489?

Answer: LCM of Numerators as per given numbers 780/47, 416/57, 481/489 is

LCM of Numerators i.e. for 780,416,481 is 230880

GCF of denominators i.e. for 47,57,489 is 1.

Thus, LCM of Fractions is 230880.Finally, LCM of Fractions for 780/47, 416/57, 481/489 is 230880.