Least Common Multiple of 35/214, 7719/8241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/214, 7719/8241 quickly i.e. 270165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/214, 7719/8241 is 270165.

LCM(35/214, 7719/8241) = 270165

LCM of 35/214, 7719/8241

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 35/214,7719/8241

Given numbers are 35/214,7719/8241

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 35,7719

Least Common Multiple of Numerators i.e. LCM of 35,7719 is 270165.

GCF of Denominators means GCF of 214,8241 as per the given fractions.

GCF of 214,8241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,7719

LCM of Fractions 35/214,7719/8241 is 270165

Given numbers has no common factors except 1. So, there LCM is their product i.e 270165

Least Common Multiple of 35,7719 with GCF Formula

Least Common Multiple of 35,7719 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 35,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,7719) = 1

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

GCF(35,7719) x common factors =1 x 1 = 1

LCM(35,7719) = ( 35 × 7719 ) / 1

LCM(35,7719) = 270165 / 1

LCM(35,7719) = 270165


Lets's calculate GCF of 214,8241

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270165/1

Therefore the LCM of Fractions 35/214,7719/8241 is 270165

Greatest Common Factor of 214,8241 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,8241 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 8241

List of positive integer factors of 8241 that divides 8241 without a remainder.

1,3,41,67,123,201,2747,8241

Greatest Common Factor

We found the factors 214,8241 . The biggest common factor number is the GCF number.
So the greatest common factor 214,8241 is 1.


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 35/214, 7719/8241

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 35/214, 7719/8241?

Answer: LCM of Numerators as per given numbers 35/214, 7719/8241 is

LCM of Numerators i.e. for 35,7719 is 270165

GCF of denominators i.e. for 214,8241 is 1.

Thus, LCM of Fractions is 270165.Finally, LCM of Fractions for 35/214, 7719/8241 is 270165.