Least Common Multiple of 3150/519, 5482/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3150/519, 5482/663 quickly i.e. 2878050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3150/519, 5482/663 is 2878050.

LCM(3150/519, 5482/663) = 2878050

LCM of 3150/519, 5482/663

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 3150/519,5482/663

Given numbers are 3150/519,5482/663

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 3150,5482

Least Common Multiple of Numerators i.e. LCM of 3150,5482 is 8634150.

GCF of Denominators means GCF of 519,663 as per the given fractions.

GCF of 519,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3150,5482

LCM of Fractions 3150/519,5482/663 is 2878050

2 3150, 5482
1575, 2741

∴ So the LCM of the given numbers is 2 x 1575 x 2741 = 8634150

Least Common Multiple of 3150,5482 with GCF Formula

Least Common Multiple of 3150,5482 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 3150,5482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3150,5482) = 2

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

GCF(3150,5482) x common factors =2 x 1 = 2

LCM(3150,5482) = ( 3150 × 5482 ) / 2

LCM(3150,5482) = 17268300 / 2

LCM(3150,5482) = 8634150


Lets's calculate GCF of 519,663

3 519, 663
173, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8634150/3

Therefore the LCM of Fractions 3150/519,5482/663 is 2878050

Greatest Common Factor of 519,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,663 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 519,663 . The biggest common factor number is the GCF number.
So the greatest common factor 519,663 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 3150/519, 5482/663

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 3150/519, 5482/663?

Answer: LCM of Numerators as per given numbers 3150/519, 5482/663 is

LCM of Numerators i.e. for 3150,5482 is 8634150

GCF of denominators i.e. for 519,663 is 3.

Thus, LCM of Fractions is 2878050.Finally, LCM of Fractions for 3150/519, 5482/663 is 2878050.