Least Common Multiple of 575/57, 9685/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/57, 9685/486 quickly i.e. 1113775/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/57, 9685/486 is 1113775/3.

LCM(575/57, 9685/486) = 1113775/3

LCM of 575/57, 9685/486

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 575/57,9685/486

Given numbers are 575/57,9685/486

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 575,9685

Least Common Multiple of Numerators i.e. LCM of 575,9685 is 1113775.

GCF of Denominators means GCF of 57,486 as per the given fractions.

GCF of 57,486 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,9685

LCM of Fractions 575/57,9685/486 is 1113775/3

5 575, 9685
115, 1937

∴ So the LCM of the given numbers is 5 x 115 x 1937 = 1113775

Least Common Multiple of 575,9685 with GCF Formula

Least Common Multiple of 575,9685 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 575,9685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,9685) = 5

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

GCF(575,9685) x common factors =5 x 1 = 5

LCM(575,9685) = ( 575 × 9685 ) / 5

LCM(575,9685) = 5568875 / 5

LCM(575,9685) = 1113775


Lets's calculate GCF of 57,486

3 57, 486
19, 162

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1113775/3

Therefore the LCM of Fractions 575/57,9685/486 is 1113775/3

Greatest Common Factor of 57,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,486 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 57,486 . The biggest common factor number is the GCF number.
So the greatest common factor 57,486 is 3.


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 575/57, 9685/486

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 575/57, 9685/486?

Answer: LCM of Numerators as per given numbers 575/57, 9685/486 is

LCM of Numerators i.e. for 575,9685 is 1113775

GCF of denominators i.e. for 57,486 is 3.

Thus, LCM of Fractions is 1113775/3.Finally, LCM of Fractions for 575/57, 9685/486 is 1113775/3.