Least Common Multiple of 42/213, 9534/9934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/213, 9534/9934 quickly i.e. 9534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/213, 9534/9934 is 9534.

LCM(42/213, 9534/9934) = 9534

LCM of 42/213, 9534/9934

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 42/213,9534/9934

Given numbers are 42/213,9534/9934

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 42,9534

Least Common Multiple of Numerators i.e. LCM of 42,9534 is 9534.

GCF of Denominators means GCF of 213,9934 as per the given fractions.

GCF of 213,9934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,9534

LCM of Fractions 42/213,9534/9934 is 9534

2 42, 9534
3 21, 4767
7 7, 1589
1, 227

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 227 = 9534

Least Common Multiple of 42,9534 with GCF Formula

Least Common Multiple of 42,9534 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 42,9534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,9534) = 42

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

GCF(42,9534) x common factors =42 x 1 = 42

LCM(42,9534) = ( 42 × 9534 ) / 42

LCM(42,9534) = 400428 / 42

LCM(42,9534) = 9534


Lets's calculate GCF of 213,9934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9534/1

Therefore the LCM of Fractions 42/213,9534/9934 is 9534

Greatest Common Factor of 213,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,9934 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 213,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 213,9934 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 42/213, 9534/9934

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 42/213, 9534/9934?

Answer: LCM of Numerators as per given numbers 42/213, 9534/9934 is

LCM of Numerators i.e. for 42,9534 is 9534

GCF of denominators i.e. for 213,9934 is 1.

Thus, LCM of Fractions is 9534.Finally, LCM of Fractions for 42/213, 9534/9934 is 9534.