Least Common Multiple of 480/750, 5198/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/750, 5198/555 quickly i.e. 83168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/750, 5198/555 is 83168.

LCM(480/750, 5198/555) = 83168

LCM of 480/750, 5198/555

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 480/750,5198/555

Given numbers are 480/750,5198/555

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 480,5198

Least Common Multiple of Numerators i.e. LCM of 480,5198 is 1247520.

GCF of Denominators means GCF of 750,555 as per the given fractions.

GCF of 750,555 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,5198

LCM of Fractions 480/750,5198/555 is 83168

2 480, 5198
240, 2599

∴ So the LCM of the given numbers is 2 x 240 x 2599 = 1247520

Least Common Multiple of 480,5198 with GCF Formula

Least Common Multiple of 480,5198 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 480,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,5198) = 2

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

GCF(480,5198) x common factors =2 x 1 = 2

LCM(480,5198) = ( 480 × 5198 ) / 2

LCM(480,5198) = 2495040 / 2

LCM(480,5198) = 1247520


Lets's calculate GCF of 750,555

3 750, 555
5 250, 185
50, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1247520/15

Therefore the LCM of Fractions 480/750,5198/555 is 83168

Greatest Common Factor of 750,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,555 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 750,555 . The biggest common factor number is the GCF number.
So the greatest common factor 750,555 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 480/750, 5198/555

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 480/750, 5198/555?

Answer: LCM of Numerators as per given numbers 480/750, 5198/555 is

LCM of Numerators i.e. for 480,5198 is 1247520

GCF of denominators i.e. for 750,555 is 15.

Thus, LCM of Fractions is 83168.Finally, LCM of Fractions for 480/750, 5198/555 is 83168.