Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7646/364, 9902/4574 quickly i.e. 18927673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7646/364, 9902/4574 is 18927673.
LCM(7646/364, 9902/4574) = 18927673
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7646/364,9902/4574
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 7646,9902
Least Common Multiple of Numerators i.e. LCM of 7646,9902 is 37855346.
GCF of Denominators means GCF of 364,4574 as per the given fractions.
GCF of 364,4574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7646,9902
2 | 7646, 9902 |
3823, 4951 |
∴ So the LCM of the given numbers is 2 x 3823 x 4951 = 37855346
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 7646,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7646,9902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7646,9902) x common factors =2 x 1 = 2
LCM(7646,9902) = ( 7646 × 9902 ) / 2
LCM(7646,9902) = 75710692 / 2
LCM(7646,9902) = 37855346
Lets's calculate GCF of 364,4574
2 | 364, 4574 |
182, 2287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37855346/2
Therefore the LCM of Fractions 7646/364,9902/4574 is 18927673
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 4574
List of positive integer factors of 4574 that divides 4574 without a remainder.
1,2,2287,4574
Greatest Common Factor
We found the factors 364,4574 . The biggest common factor number is the GCF number.
So the greatest common factor 364,4574 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 7646/364, 9902/4574?
Answer: LCM of Numerators as per given numbers 7646/364, 9902/4574 is
LCM of Numerators i.e. for 7646,9902 is 37855346
GCF of denominators i.e. for 364,4574 is 2.
Thus, LCM of Fractions is 18927673.Finally, LCM of Fractions for 7646/364, 9902/4574 is 18927673.