Least Common Multiple of 42/36, 63/89, 817/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/36, 63/89, 817/842 quickly i.e. 102942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/36, 63/89, 817/842 is 102942.

LCM(42/36, 63/89, 817/842) = 102942

LCM of 42/36, 63/89, 817/842

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 42/36,63/89,817/842

Given numbers are 42/36,63/89,817/842

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 42,63,817

Least Common Multiple of Numerators i.e. LCM of 42,63,817 is 102942.

GCF of Denominators means GCF of 36,89,842 as per the given fractions.

GCF of 36,89,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,63,817

LCM of Fractions 42/36,63/89,817/842 is 102942

3 42, 63, 817
7 14, 21, 817
2, 3, 817

∴ So the LCM of the given numbers is 3 x 7 x 2 x 3 x 817 = 102942

Least Common Multiple of 42,63,817 with GCF Formula

Least Common Multiple of 42,63,817 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 42,63,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,63,817) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,63,817) x common factors =1 x 21 = 21

LCM(42,63,817) = ( 42 × 63 × 817 ) / 21

LCM(42,63,817) = 2161782 / 21

LCM(42,63,817) = 102942


Lets's calculate GCF of 36,89,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102942/1

Therefore the LCM of Fractions 42/36,63/89,817/842 is 102942

Greatest Common Factor of 36,89,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,89,842 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 36,89,842 . The biggest common factor number is the GCF number.
So the greatest common factor 36,89,842 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 42/36, 63/89, 817/842

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 42/36, 63/89, 817/842?

Answer: LCM of Numerators as per given numbers 42/36, 63/89, 817/842 is

LCM of Numerators i.e. for 42,63,817 is 102942

GCF of denominators i.e. for 36,89,842 is 1.

Thus, LCM of Fractions is 102942.Finally, LCM of Fractions for 42/36, 63/89, 817/842 is 102942.