Least Common Multiple of 575/82, 215/67, 256/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/82, 215/67, 256/964 quickly i.e. 6329600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/82, 215/67, 256/964 is 6329600.

LCM(575/82, 215/67, 256/964) = 6329600

LCM of 575/82, 215/67, 256/964

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 575/82,215/67,256/964

Given numbers are 575/82,215/67,256/964

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 575,215,256

Least Common Multiple of Numerators i.e. LCM of 575,215,256 is 6329600.

GCF of Denominators means GCF of 82,67,964 as per the given fractions.

GCF of 82,67,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,215,256

LCM of Fractions 575/82,215/67,256/964 is 6329600

5 575, 215, 256
115, 43, 256

∴ So the LCM of the given numbers is 5 x 115 x 43 x 256 = 6329600

Least Common Multiple of 575,215,256 with GCF Formula

Least Common Multiple of 575,215,256 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 575,215,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,215,256) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(575,215,256) x common factors =1 x 5 = 5

LCM(575,215,256) = ( 575 × 215 × 256 ) / 5

LCM(575,215,256) = 31648000 / 5

LCM(575,215,256) = 6329600


Lets's calculate GCF of 82,67,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6329600/1

Therefore the LCM of Fractions 575/82,215/67,256/964 is 6329600

Greatest Common Factor of 82,67,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,67,964 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 82,67,964 . The biggest common factor number is the GCF number.
So the greatest common factor 82,67,964 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 575/82, 215/67, 256/964

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 575/82, 215/67, 256/964?

Answer: LCM of Numerators as per given numbers 575/82, 215/67, 256/964 is

LCM of Numerators i.e. for 575,215,256 is 6329600

GCF of denominators i.e. for 82,67,964 is 1.

Thus, LCM of Fractions is 6329600.Finally, LCM of Fractions for 575/82, 215/67, 256/964 is 6329600.