Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4964/845, 3692/7504 quickly i.e. 4581772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4964/845, 3692/7504 is 4581772.
LCM(4964/845, 3692/7504) = 4581772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4964/845,3692/7504
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 4964,3692
Least Common Multiple of Numerators i.e. LCM of 4964,3692 is 4581772.
GCF of Denominators means GCF of 845,7504 as per the given fractions.
GCF of 845,7504 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4964,3692
2 | 4964, 3692 |
2 | 2482, 1846 |
1241, 923 |
∴ So the LCM of the given numbers is 2 x 2 x 1241 x 923 = 4581772
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 4964,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4964,3692) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4964,3692) x common factors =4 x 1 = 4
LCM(4964,3692) = ( 4964 × 3692 ) / 4
LCM(4964,3692) = 18327088 / 4
LCM(4964,3692) = 4581772
Lets's calculate GCF of 845,7504
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4581772/1
Therefore the LCM of Fractions 4964/845,3692/7504 is 4581772
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 7504
List of positive integer factors of 7504 that divides 7504 without a remainder.
1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 845,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 845,7504 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 4964/845, 3692/7504?
Answer: LCM of Numerators as per given numbers 4964/845, 3692/7504 is
LCM of Numerators i.e. for 4964,3692 is 4581772
GCF of denominators i.e. for 845,7504 is 1.
Thus, LCM of Fractions is 4581772.Finally, LCM of Fractions for 4964/845, 3692/7504 is 4581772.