Least Common Multiple of 576/835, 5157/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 576/835, 5157/886 quickly i.e. 330048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/835, 5157/886 is 330048.

LCM(576/835, 5157/886) = 330048

LCM of 576/835, 5157/886

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 576/835,5157/886

Given numbers are 576/835,5157/886

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 576,5157

Least Common Multiple of Numerators i.e. LCM of 576,5157 is 330048.

GCF of Denominators means GCF of 835,886 as per the given fractions.

GCF of 835,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,5157

LCM of Fractions 576/835,5157/886 is 330048

3 576, 5157
3 192, 1719
64, 573

∴ So the LCM of the given numbers is 3 x 3 x 64 x 573 = 330048

Least Common Multiple of 576,5157 with GCF Formula

Least Common Multiple of 576,5157 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 576,5157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,5157) = 9

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

GCF(576,5157) x common factors =9 x 1 = 9

LCM(576,5157) = ( 576 × 5157 ) / 9

LCM(576,5157) = 2970432 / 9

LCM(576,5157) = 330048


Lets's calculate GCF of 835,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330048/1

Therefore the LCM of Fractions 576/835,5157/886 is 330048

Greatest Common Factor of 835,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,886 By Matching Biggest Common Factor Method

Factors of 835

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

1,5,167,835

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 835,886 . The biggest common factor number is the GCF number.
So the greatest common factor 835,886 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 576/835, 5157/886

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 576/835, 5157/886?

Answer: LCM of Numerators as per given numbers 576/835, 5157/886 is

LCM of Numerators i.e. for 576,5157 is 330048

GCF of denominators i.e. for 835,886 is 1.

Thus, LCM of Fractions is 330048.Finally, LCM of Fractions for 576/835, 5157/886 is 330048.