Least Common Multiple of 852/87, 464/2415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/87, 464/2415 quickly i.e. 32944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/87, 464/2415 is 32944.

LCM(852/87, 464/2415) = 32944

LCM of 852/87, 464/2415

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 852/87,464/2415

Given numbers are 852/87,464/2415

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 852,464

Least Common Multiple of Numerators i.e. LCM of 852,464 is 98832.

GCF of Denominators means GCF of 87,2415 as per the given fractions.

GCF of 87,2415 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,464

LCM of Fractions 852/87,464/2415 is 32944

2 852, 464
2 426, 232
213, 116

∴ So the LCM of the given numbers is 2 x 2 x 213 x 116 = 98832

Least Common Multiple of 852,464 with GCF Formula

Least Common Multiple of 852,464 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 852,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,464) = 4

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

GCF(852,464) x common factors =4 x 1 = 4

LCM(852,464) = ( 852 × 464 ) / 4

LCM(852,464) = 395328 / 4

LCM(852,464) = 98832


Lets's calculate GCF of 87,2415

3 87, 2415
29, 805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98832/3

Therefore the LCM of Fractions 852/87,464/2415 is 32944

Greatest Common Factor of 87,2415 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,2415 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Greatest Common Factor

We found the factors 87,2415 . The biggest common factor number is the GCF number.
So the greatest common factor 87,2415 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 852/87, 464/2415

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 852/87, 464/2415?

Answer: LCM of Numerators as per given numbers 852/87, 464/2415 is

LCM of Numerators i.e. for 852,464 is 98832

GCF of denominators i.e. for 87,2415 is 3.

Thus, LCM of Fractions is 32944.Finally, LCM of Fractions for 852/87, 464/2415 is 32944.