Least Common Multiple of 4800/345, 5019/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4800/345, 5019/315 quickly i.e. 535360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4800/345, 5019/315 is 535360.

LCM(4800/345, 5019/315) = 535360

LCM of 4800/345, 5019/315

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 4800/345,5019/315

Given numbers are 4800/345,5019/315

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 4800,5019

Least Common Multiple of Numerators i.e. LCM of 4800,5019 is 8030400.

GCF of Denominators means GCF of 345,315 as per the given fractions.

GCF of 345,315 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4800,5019

LCM of Fractions 4800/345,5019/315 is 535360

3 4800, 5019
1600, 1673

∴ So the LCM of the given numbers is 3 x 1600 x 1673 = 8030400

Least Common Multiple of 4800,5019 with GCF Formula

Least Common Multiple of 4800,5019 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 4800,5019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4800,5019) = 3

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

GCF(4800,5019) x common factors =3 x 1 = 3

LCM(4800,5019) = ( 4800 × 5019 ) / 3

LCM(4800,5019) = 24091200 / 3

LCM(4800,5019) = 8030400


Lets's calculate GCF of 345,315

3 345, 315
5 115, 105
23, 21

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8030400/15

Therefore the LCM of Fractions 4800/345,5019/315 is 535360

Greatest Common Factor of 345,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,315 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 345,315 . The biggest common factor number is the GCF number.
So the greatest common factor 345,315 is 15.


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 4800/345, 5019/315

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 4800/345, 5019/315?

Answer: LCM of Numerators as per given numbers 4800/345, 5019/315 is

LCM of Numerators i.e. for 4800,5019 is 8030400

GCF of denominators i.e. for 345,315 is 15.

Thus, LCM of Fractions is 535360.Finally, LCM of Fractions for 4800/345, 5019/315 is 535360.