Least Common Multiple of 5544/315, 4848/3706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5544/315, 4848/3706 quickly i.e. 1119888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5544/315, 4848/3706 is 1119888.

LCM(5544/315, 4848/3706) = 1119888

LCM of 5544/315, 4848/3706

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 5544/315,4848/3706

Given numbers are 5544/315,4848/3706

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 5544,4848

Least Common Multiple of Numerators i.e. LCM of 5544,4848 is 1119888.

GCF of Denominators means GCF of 315,3706 as per the given fractions.

GCF of 315,3706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5544,4848

LCM of Fractions 5544/315,4848/3706 is 1119888

2 5544, 4848
2 2772, 2424
2 1386, 1212
3 693, 606
231, 202

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 231 x 202 = 1119888

Least Common Multiple of 5544,4848 with GCF Formula

Least Common Multiple of 5544,4848 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 5544,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5544,4848) = 24

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

GCF(5544,4848) x common factors =24 x 1 = 24

LCM(5544,4848) = ( 5544 × 4848 ) / 24

LCM(5544,4848) = 26877312 / 24

LCM(5544,4848) = 1119888


Lets's calculate GCF of 315,3706

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1119888/1

Therefore the LCM of Fractions 5544/315,4848/3706 is 1119888

Greatest Common Factor of 315,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,3706 By Matching Biggest Common Factor Method

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

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 315,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 315,3706 is 1.


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 5544/315, 4848/3706

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 5544/315, 4848/3706?

Answer: LCM of Numerators as per given numbers 5544/315, 4848/3706 is

LCM of Numerators i.e. for 5544,4848 is 1119888

GCF of denominators i.e. for 315,3706 is 1.

Thus, LCM of Fractions is 1119888.Finally, LCM of Fractions for 5544/315, 4848/3706 is 1119888.