Utilize the LCM of Fractions Calculator to find the Least Common Multiple of Fractions 152/56, 190/96, 228/200 easily i.e. 285 along with step by step procedure.
LCM of 152/56, 190/96, 228/200 is 285
LCM(152/56, 190/96, 228/200) = 285
Ex: 8/5, 3/5, 2/5 (or) 2/3, 5/7 (or) 3/5, 5/9, 7/3
Given Input Data is 152/56,190/96,228/200
As per the formula LCM of Fractions = LCM of Numerators/GCF of Denominators
LCM of Numerators means (152,190,228) in this case as per given inputs
Least Common Multiple of 152,190,228 is 2280 the smallest number that is divisible by the numbers
GCF of Denominators means (56,96,200) in this case as per given inputs
Greatest Common Factor of 56,96,200 is 8 the largest number by which both the numbers can be divided
Lets's calculate LCM of 152,190,228
Arrange the Inputs 152,190,228 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
| 2 | 152, 190, 228 |
| 2 | 76, 95, 114 |
| 19 | 38, 95, 57 |
| 2, 5, 3 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 2 x 19 x 2 x 5 x 3 = 2280
Therefore, LCM of 152,190,228 is 2280
Step1:
Let's calculate the LCM of first two numbers
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(152, 190) = 38
LCM(152, 190) = ( 152 x 190 ) / 38
LCM(152, 190) = 28880 / 38
LCM(152, 190) = 760
Step2:
Here we consider the LCM from the above i.e. 760 as first number and the next as 228
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(760, 228) = 76
LCM(760, 228) = ( 760 x 228 ) / 76
LCM(760, 228) = 173280 / 76
LCM(760, 228) = 2280
LCM of 152,190,228 is 2280
Lets's calculate GCF of 56,96,200
| 2 | 56, 96, 200 |
| 2 | 28, 48, 100 |
| 2 | 14, 24, 50 |
| 7, 12, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/8
Therefore the LCM of Fractions 152/56,190/96,228/200 is 285
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 56,96,200 . The biggest common factor number is the GCF number.
So the greatest common factor 56,96,200 is 8.
Here are some samples of LCM of Fractions calculations.
1. What is the LCM of Fractions 152/56, 190/96, 228/200?
LCM of Fractions 152/56, 190/96, 228/200 is 285.
2. How to find LCM of Fractions 152/56, 190/96, 228/200?
You can find the LCM of Fractions 152/56, 190/96, 228/200 by dividing the LCM of Numerators (152,190,228) with GCF of Denominators(56,96,200).
3. Where do I get a detailed procedure for finding the LCM of Fractions 152/56, 190/96, 228/200?
You can get a detailed procedure for finding the LCM of Fractions 152/56, 190/96, 228/200 on our page.