Least Common Multiple of 1775/330, 6395/3100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1775/330, 6395/3100 quickly i.e. 2270225/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1775/330, 6395/3100 is 2270225/10.

LCM(1775/330, 6395/3100) = 2270225/10

LCM of 1775/330, 6395/3100

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 1775/330,6395/3100

Given numbers are 1775/330,6395/3100

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 1775,6395

Least Common Multiple of Numerators i.e. LCM of 1775,6395 is 2270225.

GCF of Denominators means GCF of 330,3100 as per the given fractions.

GCF of 330,3100 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1775,6395

LCM of Fractions 1775/330,6395/3100 is 2270225/10

5 1775, 6395
355, 1279

∴ So the LCM of the given numbers is 5 x 355 x 1279 = 2270225

Least Common Multiple of 1775,6395 with GCF Formula

Least Common Multiple of 1775,6395 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 1775,6395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1775,6395) = 5

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

GCF(1775,6395) x common factors =5 x 1 = 5

LCM(1775,6395) = ( 1775 × 6395 ) / 5

LCM(1775,6395) = 11351125 / 5

LCM(1775,6395) = 2270225


Lets's calculate GCF of 330,3100

2 330, 3100
5 165, 1550
33, 310

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2270225/10

Therefore the LCM of Fractions 1775/330,6395/3100 is 2270225/10

Greatest Common Factor of 330,3100 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,3100 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Greatest Common Factor

We found the factors 330,3100 . The biggest common factor number is the GCF number.
So the greatest common factor 330,3100 is 10.


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 1775/330, 6395/3100

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 1775/330, 6395/3100?

Answer: LCM of Numerators as per given numbers 1775/330, 6395/3100 is

LCM of Numerators i.e. for 1775,6395 is 2270225

GCF of denominators i.e. for 330,3100 is 10.

Thus, LCM of Fractions is 2270225/10.Finally, LCM of Fractions for 1775/330, 6395/3100 is 2270225/10.