Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2967/201, 7910/9858 quickly i.e. 7822990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2967/201, 7910/9858 is 7822990.
LCM(2967/201, 7910/9858) = 7822990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2967/201,7910/9858
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 2967,7910
Least Common Multiple of Numerators i.e. LCM of 2967,7910 is 23468970.
GCF of Denominators means GCF of 201,9858 as per the given fractions.
GCF of 201,9858 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2967,7910
Given numbers has no common factors except 1. So, there LCM is their product i.e 23468970
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 2967,7910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2967,7910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2967,7910) x common factors =1 x 1 = 1
LCM(2967,7910) = ( 2967 × 7910 ) / 1
LCM(2967,7910) = 23468970 / 1
LCM(2967,7910) = 23468970
Lets's calculate GCF of 201,9858
3 | 201, 9858 |
67, 3286 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23468970/3
Therefore the LCM of Fractions 2967/201,7910/9858 is 7822990
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 9858
List of positive integer factors of 9858 that divides 9858 without a remainder.
1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Greatest Common Factor
We found the factors 201,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 201,9858 is 3.
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 2967/201, 7910/9858?
Answer: LCM of Numerators as per given numbers 2967/201, 7910/9858 is
LCM of Numerators i.e. for 2967,7910 is 23468970
GCF of denominators i.e. for 201,9858 is 3.
Thus, LCM of Fractions is 7822990.Finally, LCM of Fractions for 2967/201, 7910/9858 is 7822990.