Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/728, 504/456, 628/990 quickly i.e. 1147356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/728, 504/456, 628/990 is 1147356.
LCM(87/728, 504/456, 628/990) = 1147356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/728,504/456,628/990
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 87,504,628
Least Common Multiple of Numerators i.e. LCM of 87,504,628 is 2294712.
GCF of Denominators means GCF of 728,456,990 as per the given fractions.
GCF of 728,456,990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,504,628
2 | 87, 504, 628 |
2 | 87, 252, 314 |
3 | 87, 126, 157 |
29, 42, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 42 x 157 = 2294712
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 87,504,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,504,628) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(87,504,628) x common factors =1 x 12 = 12
LCM(87,504,628) = ( 87 × 504 × 628 ) / 12
LCM(87,504,628) = 27536544 / 12
LCM(87,504,628) = 2294712
Lets's calculate GCF of 728,456,990
2 | 728, 456, 990 |
364, 228, 495 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2294712/2
Therefore the LCM of Fractions 87/728,504/456,628/990 is 1147356
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 728,456,990 . The biggest common factor number is the GCF number.
So the greatest common factor 728,456,990 is 2.
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 87/728, 504/456, 628/990?
Answer: LCM of Numerators as per given numbers 87/728, 504/456, 628/990 is
LCM of Numerators i.e. for 87,504,628 is 2294712
GCF of denominators i.e. for 728,456,990 is 2.
Thus, LCM of Fractions is 1147356.Finally, LCM of Fractions for 87/728, 504/456, 628/990 is 1147356.