Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3199/510, 7776/1942 quickly i.e. 12437712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3199/510, 7776/1942 is 12437712.
LCM(3199/510, 7776/1942) = 12437712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3199/510,7776/1942
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 3199,7776
Least Common Multiple of Numerators i.e. LCM of 3199,7776 is 24875424.
GCF of Denominators means GCF of 510,1942 as per the given fractions.
GCF of 510,1942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3199,7776
Given numbers has no common factors except 1. So, there LCM is their product i.e 24875424
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 3199,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3199,7776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3199,7776) x common factors =1 x 1 = 1
LCM(3199,7776) = ( 3199 × 7776 ) / 1
LCM(3199,7776) = 24875424 / 1
LCM(3199,7776) = 24875424
Lets's calculate GCF of 510,1942
2 | 510, 1942 |
255, 971 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24875424/2
Therefore the LCM of Fractions 3199/510,7776/1942 is 12437712
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 1942
List of positive integer factors of 1942 that divides 1942 without a remainder.
1,2,971,1942
Greatest Common Factor
We found the factors 510,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 510,1942 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 3199/510, 7776/1942?
Answer: LCM of Numerators as per given numbers 3199/510, 7776/1942 is
LCM of Numerators i.e. for 3199,7776 is 24875424
GCF of denominators i.e. for 510,1942 is 2.
Thus, LCM of Fractions is 12437712.Finally, LCM of Fractions for 3199/510, 7776/1942 is 12437712.