Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/712, 9037/2318 quickly i.e. 99407/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/712, 9037/2318 is 99407/2.
LCM(77/712, 9037/2318) = 99407/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/712,9037/2318
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 77,9037
Least Common Multiple of Numerators i.e. LCM of 77,9037 is 99407.
GCF of Denominators means GCF of 712,2318 as per the given fractions.
GCF of 712,2318 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,9037
7 | 77, 9037 |
11, 1291 |
∴ So the LCM of the given numbers is 7 x 11 x 1291 = 99407
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 77,9037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,9037) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(77,9037) x common factors =7 x 1 = 7
LCM(77,9037) = ( 77 × 9037 ) / 7
LCM(77,9037) = 695849 / 7
LCM(77,9037) = 99407
Lets's calculate GCF of 712,2318
2 | 712, 2318 |
356, 1159 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99407/2
Therefore the LCM of Fractions 77/712,9037/2318 is 99407/2
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 2318
List of positive integer factors of 2318 that divides 2318 without a remainder.
1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 712,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 712,2318 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 77/712, 9037/2318?
Answer: LCM of Numerators as per given numbers 77/712, 9037/2318 is
LCM of Numerators i.e. for 77,9037 is 99407
GCF of denominators i.e. for 712,2318 is 2.
Thus, LCM of Fractions is 99407/2.Finally, LCM of Fractions for 77/712, 9037/2318 is 99407/2.