Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3400/452, 9314/787 quickly i.e. 15833800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3400/452, 9314/787 is 15833800.
LCM(3400/452, 9314/787) = 15833800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3400/452,9314/787
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 3400,9314
Least Common Multiple of Numerators i.e. LCM of 3400,9314 is 15833800.
GCF of Denominators means GCF of 452,787 as per the given fractions.
GCF of 452,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3400,9314
2 | 3400, 9314 |
1700, 4657 |
∴ So the LCM of the given numbers is 2 x 1700 x 4657 = 15833800
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 3400,9314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3400,9314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3400,9314) x common factors =2 x 1 = 2
LCM(3400,9314) = ( 3400 × 9314 ) / 2
LCM(3400,9314) = 31667600 / 2
LCM(3400,9314) = 15833800
Lets's calculate GCF of 452,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15833800/1
Therefore the LCM of Fractions 3400/452,9314/787 is 15833800
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 452,787 . The biggest common factor number is the GCF number.
So the greatest common factor 452,787 is 1.
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 3400/452, 9314/787?
Answer: LCM of Numerators as per given numbers 3400/452, 9314/787 is
LCM of Numerators i.e. for 3400,9314 is 15833800
GCF of denominators i.e. for 452,787 is 1.
Thus, LCM of Fractions is 15833800.Finally, LCM of Fractions for 3400/452, 9314/787 is 15833800.