Least Common Multiple of 35/261, 9040/6285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/261, 9040/6285 quickly i.e. 63280/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/261, 9040/6285 is 63280/3.

LCM(35/261, 9040/6285) = 63280/3

LCM of 35/261, 9040/6285

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 35/261,9040/6285

Given numbers are 35/261,9040/6285

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 35,9040

Least Common Multiple of Numerators i.e. LCM of 35,9040 is 63280.

GCF of Denominators means GCF of 261,6285 as per the given fractions.

GCF of 261,6285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,9040

LCM of Fractions 35/261,9040/6285 is 63280/3

5 35, 9040
7, 1808

∴ So the LCM of the given numbers is 5 x 7 x 1808 = 63280

Least Common Multiple of 35,9040 with GCF Formula

Least Common Multiple of 35,9040 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 35,9040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,9040) = 5

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

GCF(35,9040) x common factors =5 x 1 = 5

LCM(35,9040) = ( 35 × 9040 ) / 5

LCM(35,9040) = 316400 / 5

LCM(35,9040) = 63280


Lets's calculate GCF of 261,6285

3 261, 6285
87, 2095

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63280/3

Therefore the LCM of Fractions 35/261,9040/6285 is 63280/3

Greatest Common Factor of 261,6285 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,6285 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1,3,5,15,419,1257,2095,6285

Greatest Common Factor

We found the factors 261,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 261,6285 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 35/261, 9040/6285

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 35/261, 9040/6285?

Answer: LCM of Numerators as per given numbers 35/261, 9040/6285 is

LCM of Numerators i.e. for 35,9040 is 63280

GCF of denominators i.e. for 261,6285 is 3.

Thus, LCM of Fractions is 63280/3.Finally, LCM of Fractions for 35/261, 9040/6285 is 63280/3.