Least Common Multiple of 9960/282, 5440/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9960/282, 5440/279 quickly i.e. 451520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9960/282, 5440/279 is 451520.

LCM(9960/282, 5440/279) = 451520

LCM of 9960/282, 5440/279

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 9960/282,5440/279

Given numbers are 9960/282,5440/279

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 9960,5440

Least Common Multiple of Numerators i.e. LCM of 9960,5440 is 1354560.

GCF of Denominators means GCF of 282,279 as per the given fractions.

GCF of 282,279 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9960,5440

LCM of Fractions 9960/282,5440/279 is 451520

2 9960, 5440
2 4980, 2720
2 2490, 1360
5 1245, 680
249, 136

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 249 x 136 = 1354560

Least Common Multiple of 9960,5440 with GCF Formula

Least Common Multiple of 9960,5440 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 9960,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9960,5440) = 40

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

GCF(9960,5440) x common factors =40 x 1 = 40

LCM(9960,5440) = ( 9960 × 5440 ) / 40

LCM(9960,5440) = 54182400 / 40

LCM(9960,5440) = 1354560


Lets's calculate GCF of 282,279

3 282, 279
94, 93

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354560/3

Therefore the LCM of Fractions 9960/282,5440/279 is 451520

Greatest Common Factor of 282,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,279 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 282,279 . The biggest common factor number is the GCF number.
So the greatest common factor 282,279 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 9960/282, 5440/279

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 9960/282, 5440/279?

Answer: LCM of Numerators as per given numbers 9960/282, 5440/279 is

LCM of Numerators i.e. for 9960,5440 is 1354560

GCF of denominators i.e. for 282,279 is 3.

Thus, LCM of Fractions is 451520.Finally, LCM of Fractions for 9960/282, 5440/279 is 451520.