Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4968/894, 7852/2953 quickly i.e. 9752184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4968/894, 7852/2953 is 9752184.
LCM(4968/894, 7852/2953) = 9752184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4968/894,7852/2953
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 4968,7852
Least Common Multiple of Numerators i.e. LCM of 4968,7852 is 9752184.
GCF of Denominators means GCF of 894,2953 as per the given fractions.
GCF of 894,2953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4968,7852
2 | 4968, 7852 |
2 | 2484, 3926 |
1242, 1963 |
∴ So the LCM of the given numbers is 2 x 2 x 1242 x 1963 = 9752184
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 4968,7852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4968,7852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4968,7852) x common factors =4 x 1 = 4
LCM(4968,7852) = ( 4968 × 7852 ) / 4
LCM(4968,7852) = 39008736 / 4
LCM(4968,7852) = 9752184
Lets's calculate GCF of 894,2953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9752184/1
Therefore the LCM of Fractions 4968/894,7852/2953 is 9752184
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 2953
List of positive integer factors of 2953 that divides 2953 without a remainder.
1,2953
Greatest Common Factor
We found the factors 894,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 894,2953 is 1.
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 4968/894, 7852/2953?
Answer: LCM of Numerators as per given numbers 4968/894, 7852/2953 is
LCM of Numerators i.e. for 4968,7852 is 9752184
GCF of denominators i.e. for 894,2953 is 1.
Thus, LCM of Fractions is 9752184.Finally, LCM of Fractions for 4968/894, 7852/2953 is 9752184.