Least Common Multiple of 32/575, 20/784, 969/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/575, 20/784, 969/835 quickly i.e. 155040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/575, 20/784, 969/835 is 155040.

LCM(32/575, 20/784, 969/835) = 155040

LCM of 32/575, 20/784, 969/835

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 32/575,20/784,969/835

Given numbers are 32/575,20/784,969/835

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 32,20,969

Least Common Multiple of Numerators i.e. LCM of 32,20,969 is 155040.

GCF of Denominators means GCF of 575,784,835 as per the given fractions.

GCF of 575,784,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,20,969

LCM of Fractions 32/575,20/784,969/835 is 155040

2 32, 20, 969
2 16, 10, 969
8, 5, 969

∴ So the LCM of the given numbers is 2 x 2 x 8 x 5 x 969 = 155040

Least Common Multiple of 32,20,969 with GCF Formula

Least Common Multiple of 32,20,969 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 32,20,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,20,969) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,20,969) x common factors =1 x 4 = 4

LCM(32,20,969) = ( 32 × 20 × 969 ) / 4

LCM(32,20,969) = 620160 / 4

LCM(32,20,969) = 155040


Lets's calculate GCF of 575,784,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155040/1

Therefore the LCM of Fractions 32/575,20/784,969/835 is 155040

Greatest Common Factor of 575,784,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,784,835 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 575,784,835 . The biggest common factor number is the GCF number.
So the greatest common factor 575,784,835 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 32/575, 20/784, 969/835

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 32/575, 20/784, 969/835?

Answer: LCM of Numerators as per given numbers 32/575, 20/784, 969/835 is

LCM of Numerators i.e. for 32,20,969 is 155040

GCF of denominators i.e. for 575,784,835 is 1.

Thus, LCM of Fractions is 155040.Finally, LCM of Fractions for 32/575, 20/784, 969/835 is 155040.