Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/476, 6372/7698 quickly i.e. 3170070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/476, 6372/7698 is 3170070.
LCM(995/476, 6372/7698) = 3170070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/476,6372/7698
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 995,6372
Least Common Multiple of Numerators i.e. LCM of 995,6372 is 6340140.
GCF of Denominators means GCF of 476,7698 as per the given fractions.
GCF of 476,7698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,6372
Given numbers has no common factors except 1. So, there LCM is their product i.e 6340140
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 995,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,6372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,6372) x common factors =1 x 1 = 1
LCM(995,6372) = ( 995 × 6372 ) / 1
LCM(995,6372) = 6340140 / 1
LCM(995,6372) = 6340140
Lets's calculate GCF of 476,7698
2 | 476, 7698 |
238, 3849 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6340140/2
Therefore the LCM of Fractions 995/476,6372/7698 is 3170070
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 7698
List of positive integer factors of 7698 that divides 7698 without a remainder.
1,2,3,6,1283,2566,3849,7698
Greatest Common Factor
We found the factors 476,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 476,7698 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 995/476, 6372/7698?
Answer: LCM of Numerators as per given numbers 995/476, 6372/7698 is
LCM of Numerators i.e. for 995,6372 is 6340140
GCF of denominators i.e. for 476,7698 is 2.
Thus, LCM of Fractions is 3170070.Finally, LCM of Fractions for 995/476, 6372/7698 is 3170070.