Least Common Multiple of 64/489, 87/367, 511/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/489, 87/367, 511/975 quickly i.e. 2845248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/489, 87/367, 511/975 is 2845248.

LCM(64/489, 87/367, 511/975) = 2845248

LCM of 64/489, 87/367, 511/975

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 64/489,87/367,511/975

Given numbers are 64/489,87/367,511/975

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 64,87,511

Least Common Multiple of Numerators i.e. LCM of 64,87,511 is 2845248.

GCF of Denominators means GCF of 489,367,975 as per the given fractions.

GCF of 489,367,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,87,511

LCM of Fractions 64/489,87/367,511/975 is 2845248

Given numbers has no common factors except 1. So, there LCM is their product i.e 2845248

Least Common Multiple of 64,87,511 with GCF Formula

Least Common Multiple of 64,87,511 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 64,87,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,87,511) = 1

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

GCF(64,87,511) x common factors =1 x 1 = 1

LCM(64,87,511) = ( 64 × 87 × 511 ) / 1

LCM(64,87,511) = 2845248 / 1

LCM(64,87,511) = 2845248


Lets's calculate GCF of 489,367,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2845248/1

Therefore the LCM of Fractions 64/489,87/367,511/975 is 2845248

Greatest Common Factor of 489,367,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,367,975 By Matching Biggest Common Factor Method

Factors of 489

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

1,3,163,489

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 489,367,975 . The biggest common factor number is the GCF number.
So the greatest common factor 489,367,975 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/489, 87/367, 511/975

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 64/489, 87/367, 511/975?

Answer: LCM of Numerators as per given numbers 64/489, 87/367, 511/975 is

LCM of Numerators i.e. for 64,87,511 is 2845248

GCF of denominators i.e. for 489,367,975 is 1.

Thus, LCM of Fractions is 2845248.Finally, LCM of Fractions for 64/489, 87/367, 511/975 is 2845248.