Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/355, 3368/5471 quickly i.e. 70728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/355, 3368/5471 is 70728.
LCM(42/355, 3368/5471) = 70728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/355,3368/5471
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 42,3368
Least Common Multiple of Numerators i.e. LCM of 42,3368 is 70728.
GCF of Denominators means GCF of 355,5471 as per the given fractions.
GCF of 355,5471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,3368
2 | 42, 3368 |
21, 1684 |
∴ So the LCM of the given numbers is 2 x 21 x 1684 = 70728
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 42,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,3368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,3368) x common factors =2 x 1 = 2
LCM(42,3368) = ( 42 × 3368 ) / 2
LCM(42,3368) = 141456 / 2
LCM(42,3368) = 70728
Lets's calculate GCF of 355,5471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70728/1
Therefore the LCM of Fractions 42/355,3368/5471 is 70728
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 5471
List of positive integer factors of 5471 that divides 5471 without a remainder.
1,5471
Greatest Common Factor
We found the factors 355,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 355,5471 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 42/355, 3368/5471?
Answer: LCM of Numerators as per given numbers 42/355, 3368/5471 is
LCM of Numerators i.e. for 42,3368 is 70728
GCF of denominators i.e. for 355,5471 is 1.
Thus, LCM of Fractions is 70728.Finally, LCM of Fractions for 42/355, 3368/5471 is 70728.