Least Common Multiple of 4085/479, 2552/9648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4085/479, 2552/9648 quickly i.e. 10424920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4085/479, 2552/9648 is 10424920.

LCM(4085/479, 2552/9648) = 10424920

LCM of 4085/479, 2552/9648

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 4085/479,2552/9648

Given numbers are 4085/479,2552/9648

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 4085,2552

Least Common Multiple of Numerators i.e. LCM of 4085,2552 is 10424920.

GCF of Denominators means GCF of 479,9648 as per the given fractions.

GCF of 479,9648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4085,2552

LCM of Fractions 4085/479,2552/9648 is 10424920

Given numbers has no common factors except 1. So, there LCM is their product i.e 10424920

Least Common Multiple of 4085,2552 with GCF Formula

Least Common Multiple of 4085,2552 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 4085,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4085,2552) = 1

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

GCF(4085,2552) x common factors =1 x 1 = 1

LCM(4085,2552) = ( 4085 × 2552 ) / 1

LCM(4085,2552) = 10424920 / 1

LCM(4085,2552) = 10424920


Lets's calculate GCF of 479,9648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10424920/1

Therefore the LCM of Fractions 4085/479,2552/9648 is 10424920

Greatest Common Factor of 479,9648 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,9648 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648

Greatest Common Factor

We found the factors 479,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 479,9648 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 4085/479, 2552/9648

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 4085/479, 2552/9648?

Answer: LCM of Numerators as per given numbers 4085/479, 2552/9648 is

LCM of Numerators i.e. for 4085,2552 is 10424920

GCF of denominators i.e. for 479,9648 is 1.

Thus, LCM of Fractions is 10424920.Finally, LCM of Fractions for 4085/479, 2552/9648 is 10424920.