Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 778/502, 9491/244 quickly i.e. 3691999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 778/502, 9491/244 is 3691999.
LCM(778/502, 9491/244) = 3691999
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 778/502,9491/244
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 778,9491
Least Common Multiple of Numerators i.e. LCM of 778,9491 is 7383998.
GCF of Denominators means GCF of 502,244 as per the given fractions.
GCF of 502,244 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 778,9491
Given numbers has no common factors except 1. So, there LCM is their product i.e 7383998
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 778,9491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,9491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,9491) x common factors =1 x 1 = 1
LCM(778,9491) = ( 778 × 9491 ) / 1
LCM(778,9491) = 7383998 / 1
LCM(778,9491) = 7383998
Lets's calculate GCF of 502,244
2 | 502, 244 |
251, 122 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7383998/2
Therefore the LCM of Fractions 778/502,9491/244 is 3691999
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 502,244 . The biggest common factor number is the GCF number.
So the greatest common factor 502,244 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 778/502, 9491/244?
Answer: LCM of Numerators as per given numbers 778/502, 9491/244 is
LCM of Numerators i.e. for 778,9491 is 7383998
GCF of denominators i.e. for 502,244 is 2.
Thus, LCM of Fractions is 3691999.Finally, LCM of Fractions for 778/502, 9491/244 is 3691999.