Least Common Multiple of 35/17, 86/88, 211/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/17, 86/88, 211/417 quickly i.e. 635110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/17, 86/88, 211/417 is 635110.

LCM(35/17, 86/88, 211/417) = 635110

LCM of 35/17, 86/88, 211/417

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 35/17,86/88,211/417

Given numbers are 35/17,86/88,211/417

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 35,86,211

Least Common Multiple of Numerators i.e. LCM of 35,86,211 is 635110.

GCF of Denominators means GCF of 17,88,417 as per the given fractions.

GCF of 17,88,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,86,211

LCM of Fractions 35/17,86/88,211/417 is 635110

Given numbers has no common factors except 1. So, there LCM is their product i.e 635110

Least Common Multiple of 35,86,211 with GCF Formula

Least Common Multiple of 35,86,211 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 35,86,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,86,211) = 1

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

GCF(35,86,211) x common factors =1 x 1 = 1

LCM(35,86,211) = ( 35 × 86 × 211 ) / 1

LCM(35,86,211) = 635110 / 1

LCM(35,86,211) = 635110


Lets's calculate GCF of 17,88,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 635110/1

Therefore the LCM of Fractions 35/17,86/88,211/417 is 635110

Greatest Common Factor of 17,88,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,88,417 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 17,88,417 . The biggest common factor number is the GCF number.
So the greatest common factor 17,88,417 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 35/17, 86/88, 211/417

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 35/17, 86/88, 211/417?

Answer: LCM of Numerators as per given numbers 35/17, 86/88, 211/417 is

LCM of Numerators i.e. for 35,86,211 is 635110

GCF of denominators i.e. for 17,88,417 is 1.

Thus, LCM of Fractions is 635110.Finally, LCM of Fractions for 35/17, 86/88, 211/417 is 635110.