Least Common Multiple of 90/510, 2665/4696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/510, 2665/4696 quickly i.e. 23985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/510, 2665/4696 is 23985.

LCM(90/510, 2665/4696) = 23985

LCM of 90/510, 2665/4696

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 90/510,2665/4696

Given numbers are 90/510,2665/4696

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 90,2665

Least Common Multiple of Numerators i.e. LCM of 90,2665 is 47970.

GCF of Denominators means GCF of 510,4696 as per the given fractions.

GCF of 510,4696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2665

LCM of Fractions 90/510,2665/4696 is 23985

5 90, 2665
18, 533

∴ So the LCM of the given numbers is 5 x 18 x 533 = 47970

Least Common Multiple of 90,2665 with GCF Formula

Least Common Multiple of 90,2665 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 90,2665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2665) = 5

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

GCF(90,2665) x common factors =5 x 1 = 5

LCM(90,2665) = ( 90 × 2665 ) / 5

LCM(90,2665) = 239850 / 5

LCM(90,2665) = 47970


Lets's calculate GCF of 510,4696

2 510, 4696
255, 2348

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47970/2

Therefore the LCM of Fractions 90/510,2665/4696 is 23985

Greatest Common Factor of 510,4696 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,4696 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Greatest Common Factor

We found the factors 510,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 510,4696 is 2.


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 90/510, 2665/4696

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 90/510, 2665/4696?

Answer: LCM of Numerators as per given numbers 90/510, 2665/4696 is

LCM of Numerators i.e. for 90,2665 is 47970

GCF of denominators i.e. for 510,4696 is 2.

Thus, LCM of Fractions is 23985.Finally, LCM of Fractions for 90/510, 2665/4696 is 23985.