Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/38, 114/8616 quickly i.e. 2109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/38, 114/8616 is 2109.
LCM(703/38, 114/8616) = 2109
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/38,114/8616
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 703,114
Least Common Multiple of Numerators i.e. LCM of 703,114 is 4218.
GCF of Denominators means GCF of 38,8616 as per the given fractions.
GCF of 38,8616 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,114
19 | 703, 114 |
37, 6 |
∴ So the LCM of the given numbers is 19 x 37 x 6 = 4218
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 703,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,114) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(703,114) x common factors =19 x 1 = 19
LCM(703,114) = ( 703 × 114 ) / 19
LCM(703,114) = 80142 / 19
LCM(703,114) = 4218
Lets's calculate GCF of 38,8616
2 | 38, 8616 |
19, 4308 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4218/2
Therefore the LCM of Fractions 703/38,114/8616 is 2109
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 8616
List of positive integer factors of 8616 that divides 8616 without a remainder.
1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Greatest Common Factor
We found the factors 38,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8616 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 703/38, 114/8616?
Answer: LCM of Numerators as per given numbers 703/38, 114/8616 is
LCM of Numerators i.e. for 703,114 is 4218
GCF of denominators i.e. for 38,8616 is 2.
Thus, LCM of Fractions is 2109.Finally, LCM of Fractions for 703/38, 114/8616 is 2109.