Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/94, 724/8104 quickly i.e. 223354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/94, 724/8104 is 223354.
LCM(617/94, 724/8104) = 223354
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/94,724/8104
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 617,724
Least Common Multiple of Numerators i.e. LCM of 617,724 is 446708.
GCF of Denominators means GCF of 94,8104 as per the given fractions.
GCF of 94,8104 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 446708
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 617,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,724) x common factors =1 x 1 = 1
LCM(617,724) = ( 617 × 724 ) / 1
LCM(617,724) = 446708 / 1
LCM(617,724) = 446708
Lets's calculate GCF of 94,8104
2 | 94, 8104 |
47, 4052 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446708/2
Therefore the LCM of Fractions 617/94,724/8104 is 223354
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 8104
List of positive integer factors of 8104 that divides 8104 without a remainder.
1,2,4,8,1013,2026,4052,8104
Greatest Common Factor
We found the factors 94,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 94,8104 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 617/94, 724/8104?
Answer: LCM of Numerators as per given numbers 617/94, 724/8104 is
LCM of Numerators i.e. for 617,724 is 446708
GCF of denominators i.e. for 94,8104 is 2.
Thus, LCM of Fractions is 223354.Finally, LCM of Fractions for 617/94, 724/8104 is 223354.