Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/452, 7504/3164 quickly i.e. 742896/452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/452, 7504/3164 is 742896/452.
LCM(99/452, 7504/3164) = 742896/452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/452,7504/3164
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 99,7504
Least Common Multiple of Numerators i.e. LCM of 99,7504 is 742896.
GCF of Denominators means GCF of 452,3164 as per the given fractions.
GCF of 452,3164 is 452 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,7504
Given numbers has no common factors except 1. So, there LCM is their product i.e 742896
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 99,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,7504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,7504) x common factors =1 x 1 = 1
LCM(99,7504) = ( 99 × 7504 ) / 1
LCM(99,7504) = 742896 / 1
LCM(99,7504) = 742896
Lets's calculate GCF of 452,3164
2 | 452, 3164 |
2 | 226, 1582 |
113 | 113, 791 |
1, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 113 = 452
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742896/452
Therefore the LCM of Fractions 99/452,7504/3164 is 742896/452
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 3164
List of positive integer factors of 3164 that divides 3164 without a remainder.
1,2,4,7,14,28,113,226,452,791,1582,3164
Greatest Common Factor
We found the factors 452,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 452,3164 is 452.
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 99/452, 7504/3164?
Answer: LCM of Numerators as per given numbers 99/452, 7504/3164 is
LCM of Numerators i.e. for 99,7504 is 742896
GCF of denominators i.e. for 452,3164 is 452.
Thus, LCM of Fractions is 742896/452.Finally, LCM of Fractions for 99/452, 7504/3164 is 742896/452.