Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/38, 47/94, 478/568 quickly i.e. 617815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/38, 47/94, 478/568 is 617815.
LCM(55/38, 47/94, 478/568) = 617815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/38,47/94,478/568
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 55,47,478
Least Common Multiple of Numerators i.e. LCM of 55,47,478 is 1235630.
GCF of Denominators means GCF of 38,94,568 as per the given fractions.
GCF of 38,94,568 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,47,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 1235630
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 55,47,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,47,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,47,478) x common factors =1 x 1 = 1
LCM(55,47,478) = ( 55 × 47 × 478 ) / 1
LCM(55,47,478) = 1235630 / 1
LCM(55,47,478) = 1235630
Lets's calculate GCF of 38,94,568
2 | 38, 94, 568 |
19, 47, 284 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235630/2
Therefore the LCM of Fractions 55/38,47/94,478/568 is 617815
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 38,94,568 . The biggest common factor number is the GCF number.
So the greatest common factor 38,94,568 is 2.
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 55/38, 47/94, 478/568?
Answer: LCM of Numerators as per given numbers 55/38, 47/94, 478/568 is
LCM of Numerators i.e. for 55,47,478 is 1235630
GCF of denominators i.e. for 38,94,568 is 2.
Thus, LCM of Fractions is 617815.Finally, LCM of Fractions for 55/38, 47/94, 478/568 is 617815.