Least Common Multiple of 6255/560, 1779/3382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6255/560, 1779/3382 quickly i.e. 3709215/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6255/560, 1779/3382 is 3709215/2.

LCM(6255/560, 1779/3382) = 3709215/2

LCM of 6255/560, 1779/3382

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 6255/560,1779/3382

Given numbers are 6255/560,1779/3382

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 6255,1779

Least Common Multiple of Numerators i.e. LCM of 6255,1779 is 3709215.

GCF of Denominators means GCF of 560,3382 as per the given fractions.

GCF of 560,3382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6255,1779

LCM of Fractions 6255/560,1779/3382 is 3709215/2

3 6255, 1779
2085, 593

∴ So the LCM of the given numbers is 3 x 2085 x 593 = 3709215

Least Common Multiple of 6255,1779 with GCF Formula

Least Common Multiple of 6255,1779 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 6255,1779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6255,1779) = 3

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

GCF(6255,1779) x common factors =3 x 1 = 3

LCM(6255,1779) = ( 6255 × 1779 ) / 3

LCM(6255,1779) = 11127645 / 3

LCM(6255,1779) = 3709215


Lets's calculate GCF of 560,3382

2 560, 3382
280, 1691

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3709215/2

Therefore the LCM of Fractions 6255/560,1779/3382 is 3709215/2

Greatest Common Factor of 560,3382 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,3382 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 3382

List of positive integer factors of 3382 that divides 3382 without a remainder.

1,2,19,38,89,178,1691,3382

Greatest Common Factor

We found the factors 560,3382 . The biggest common factor number is the GCF number.
So the greatest common factor 560,3382 is 2.


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 6255/560, 1779/3382

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 6255/560, 1779/3382?

Answer: LCM of Numerators as per given numbers 6255/560, 1779/3382 is

LCM of Numerators i.e. for 6255,1779 is 3709215

GCF of denominators i.e. for 560,3382 is 2.

Thus, LCM of Fractions is 3709215/2.Finally, LCM of Fractions for 6255/560, 1779/3382 is 3709215/2.