Least Common Multiple of 35/63, 71/11, 417/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/63, 71/11, 417/143 quickly i.e. 1036245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/63, 71/11, 417/143 is 1036245.

LCM(35/63, 71/11, 417/143) = 1036245

LCM of 35/63, 71/11, 417/143

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 35/63,71/11,417/143

Given numbers are 35/63,71/11,417/143

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 35,71,417

Least Common Multiple of Numerators i.e. LCM of 35,71,417 is 1036245.

GCF of Denominators means GCF of 63,11,143 as per the given fractions.

GCF of 63,11,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,71,417

LCM of Fractions 35/63,71/11,417/143 is 1036245

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036245

Least Common Multiple of 35,71,417 with GCF Formula

Least Common Multiple of 35,71,417 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 35,71,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,71,417) = 1

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

GCF(35,71,417) x common factors =1 x 1 = 1

LCM(35,71,417) = ( 35 × 71 × 417 ) / 1

LCM(35,71,417) = 1036245 / 1

LCM(35,71,417) = 1036245


Lets's calculate GCF of 63,11,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036245/1

Therefore the LCM of Fractions 35/63,71/11,417/143 is 1036245

Greatest Common Factor of 63,11,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,11,143 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 63,11,143 . The biggest common factor number is the GCF number.
So the greatest common factor 63,11,143 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 35/63, 71/11, 417/143

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 35/63, 71/11, 417/143?

Answer: LCM of Numerators as per given numbers 35/63, 71/11, 417/143 is

LCM of Numerators i.e. for 35,71,417 is 1036245

GCF of denominators i.e. for 63,11,143 is 1.

Thus, LCM of Fractions is 1036245.Finally, LCM of Fractions for 35/63, 71/11, 417/143 is 1036245.