Least Common Multiple of 3340/295, 9270/7755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3340/295, 9270/7755 quickly i.e. 619236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3340/295, 9270/7755 is 619236.

LCM(3340/295, 9270/7755) = 619236

LCM of 3340/295, 9270/7755

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 3340/295,9270/7755

Given numbers are 3340/295,9270/7755

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 3340,9270

Least Common Multiple of Numerators i.e. LCM of 3340,9270 is 3096180.

GCF of Denominators means GCF of 295,7755 as per the given fractions.

GCF of 295,7755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3340,9270

LCM of Fractions 3340/295,9270/7755 is 619236

2 3340, 9270
5 1670, 4635
334, 927

∴ So the LCM of the given numbers is 2 x 5 x 334 x 927 = 3096180

Least Common Multiple of 3340,9270 with GCF Formula

Least Common Multiple of 3340,9270 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 3340,9270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3340,9270) = 10

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

GCF(3340,9270) x common factors =10 x 1 = 10

LCM(3340,9270) = ( 3340 × 9270 ) / 10

LCM(3340,9270) = 30961800 / 10

LCM(3340,9270) = 3096180


Lets's calculate GCF of 295,7755

5 295, 7755
59, 1551

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3096180/5

Therefore the LCM of Fractions 3340/295,9270/7755 is 619236

Greatest Common Factor of 295,7755 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,7755 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors 295,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 295,7755 is 5.


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 3340/295, 9270/7755

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 3340/295, 9270/7755?

Answer: LCM of Numerators as per given numbers 3340/295, 9270/7755 is

LCM of Numerators i.e. for 3340,9270 is 3096180

GCF of denominators i.e. for 295,7755 is 5.

Thus, LCM of Fractions is 619236.Finally, LCM of Fractions for 3340/295, 9270/7755 is 619236.