Least Common Multiple of 63/17, 23/42, 34/20, 65/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/17, 23/42, 34/20, 65/842 quickly i.e. 3202290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/17, 23/42, 34/20, 65/842 is 3202290.

LCM(63/17, 23/42, 34/20, 65/842) = 3202290

LCM of 63/17, 23/42, 34/20, 65/842

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 63/17,23/42,34/20,65/842

Given numbers are 63/17,23/42,34/20,65/842

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 63,23,34,65

Least Common Multiple of Numerators i.e. LCM of 63,23,34,65 is 3202290.

GCF of Denominators means GCF of 17,42,20,842 as per the given fractions.

GCF of 17,42,20,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,23,34,65

LCM of Fractions 63/17,23/42,34/20,65/842 is 3202290

Given numbers has no common factors except 1. So, there LCM is their product i.e 3202290

Least Common Multiple of 63,23,34,65 with GCF Formula

Least Common Multiple of 63,23,34,65 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 63,23,34,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,23,34,65) = 1

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

GCF(63,23,34,65) x common factors =1 x 1 = 1

LCM(63,23,34,65) = ( 63 × 23 × 34 × 65 ) / 1

LCM(63,23,34,65) = 3202290 / 1

LCM(63,23,34,65) = 3202290


Lets's calculate GCF of 17,42,20,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3202290/1

Therefore the LCM of Fractions 63/17,23/42,34/20,65/842 is 3202290

Greatest Common Factor of 17,42,20,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,42,20,842 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 17,42,20,842 . The biggest common factor number is the GCF number.
So the greatest common factor 17,42,20,842 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 63/17, 23/42, 34/20, 65/842

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 63/17, 23/42, 34/20, 65/842?

Answer: LCM of Numerators as per given numbers 63/17, 23/42, 34/20, 65/842 is

LCM of Numerators i.e. for 63,23,34,65 is 3202290

GCF of denominators i.e. for 17,42,20,842 is 1.

Thus, LCM of Fractions is 3202290.Finally, LCM of Fractions for 63/17, 23/42, 34/20, 65/842 is 3202290.