Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/20, 278/4722 quickly i.e. 85763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/20, 278/4722 is 85763.
LCM(617/20, 278/4722) = 85763
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/20,278/4722
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 617,278
Least Common Multiple of Numerators i.e. LCM of 617,278 is 171526.
GCF of Denominators means GCF of 20,4722 as per the given fractions.
GCF of 20,4722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 171526
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 617,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,278) x common factors =1 x 1 = 1
LCM(617,278) = ( 617 × 278 ) / 1
LCM(617,278) = 171526 / 1
LCM(617,278) = 171526
Lets's calculate GCF of 20,4722
2 | 20, 4722 |
10, 2361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171526/2
Therefore the LCM of Fractions 617/20,278/4722 is 85763
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 4722
List of positive integer factors of 4722 that divides 4722 without a remainder.
1,2,3,6,787,1574,2361,4722
Greatest Common Factor
We found the factors 20,4722 . The biggest common factor number is the GCF number.
So the greatest common factor 20,4722 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 617/20, 278/4722?
Answer: LCM of Numerators as per given numbers 617/20, 278/4722 is
LCM of Numerators i.e. for 617,278 is 171526
GCF of denominators i.e. for 20,4722 is 2.
Thus, LCM of Fractions is 85763.Finally, LCM of Fractions for 617/20, 278/4722 is 85763.