Least Common Multiple of 48/688, 4035/9017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/688, 4035/9017 quickly i.e. 64560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/688, 4035/9017 is 64560.

LCM(48/688, 4035/9017) = 64560

LCM of 48/688, 4035/9017

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 48/688,4035/9017

Given numbers are 48/688,4035/9017

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 48,4035

Least Common Multiple of Numerators i.e. LCM of 48,4035 is 64560.

GCF of Denominators means GCF of 688,9017 as per the given fractions.

GCF of 688,9017 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,4035

LCM of Fractions 48/688,4035/9017 is 64560

3 48, 4035
16, 1345

∴ So the LCM of the given numbers is 3 x 16 x 1345 = 64560

Least Common Multiple of 48,4035 with GCF Formula

Least Common Multiple of 48,4035 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 48,4035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4035) = 3

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

GCF(48,4035) x common factors =3 x 1 = 3

LCM(48,4035) = ( 48 × 4035 ) / 3

LCM(48,4035) = 193680 / 3

LCM(48,4035) = 64560


Lets's calculate GCF of 688,9017

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64560/1

Therefore the LCM of Fractions 48/688,4035/9017 is 64560

Greatest Common Factor of 688,9017 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,9017 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1,71,127,9017

Greatest Common Factor

We found the factors 688,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 688,9017 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 48/688, 4035/9017

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 48/688, 4035/9017?

Answer: LCM of Numerators as per given numbers 48/688, 4035/9017 is

LCM of Numerators i.e. for 48,4035 is 64560

GCF of denominators i.e. for 688,9017 is 1.

Thus, LCM of Fractions is 64560.Finally, LCM of Fractions for 48/688, 4035/9017 is 64560.