Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/236, 487/444, 404/280 quickly i.e. 5558131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/236, 487/444, 404/280 is 5558131.
LCM(452/236, 487/444, 404/280) = 5558131
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/236,487/444,404/280
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 452,487,404
Least Common Multiple of Numerators i.e. LCM of 452,487,404 is 22232524.
GCF of Denominators means GCF of 236,444,280 as per the given fractions.
GCF of 236,444,280 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,487,404
2 | 452, 487, 404 |
2 | 226, 487, 202 |
113, 487, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 487 x 101 = 22232524
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 452,487,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,487,404) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(452,487,404) x common factors =1 x 4 = 4
LCM(452,487,404) = ( 452 × 487 × 404 ) / 4
LCM(452,487,404) = 88930096 / 4
LCM(452,487,404) = 22232524
Lets's calculate GCF of 236,444,280
2 | 236, 444, 280 |
2 | 118, 222, 140 |
59, 111, 70 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22232524/4
Therefore the LCM of Fractions 452/236,487/444,404/280 is 5558131
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 236,444,280 . The biggest common factor number is the GCF number.
So the greatest common factor 236,444,280 is 4.
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 452/236, 487/444, 404/280?
Answer: LCM of Numerators as per given numbers 452/236, 487/444, 404/280 is
LCM of Numerators i.e. for 452,487,404 is 22232524
GCF of denominators i.e. for 236,444,280 is 4.
Thus, LCM of Fractions is 5558131.Finally, LCM of Fractions for 452/236, 487/444, 404/280 is 5558131.