LCM of 393, 195, 222, 975, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 393, 195, 222, 975, 312 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 393, 195, 222, 975, 312. So, keep reading to learn more.
Given numbers are 393,195,222,975,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,195,222,975,312 is 37806600.
Find LCM of 393,195,222,975,312 with Prime Factorization
| 2 | 393, 195, 222, 975, 312 |
| 3 | 393, 195, 111, 975, 156 |
| 5 | 131, 65, 37, 325, 52 |
| 13 | 131, 13, 37, 65, 52 |
| 131, 1, 37, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 131 x 1 x 37 x 5 x 4 = 37806600
Therefore, the lowest common multiple of 393,195,222,975,312 is 37806600.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
393 x 195 x 222 x 975 x 312 = 5175345474000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
393 : 1, 3, 131, 393
195 : 1, 3, 5, 13, 15, 39, 65, 195
222 : 1, 2, 3, 6, 37, 74, 111, 222
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,195,222,975,312, is 3.
Now, the common factors can be found like this.
393:3x 131
195:3x 5x 13
222:2x 3x 37
975:3x 5x 5x 13
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13x 13 = 45630
Therefore, the value for common factors is 45630.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5175345474000/(3x45630)
LCM = 5175345474000/136890
LCM = 37806600
Thus, we can understand that the LCM of 393,195,222,975,312 is 37806600.
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FAQs on LCM of 393, 195, 222, 975, 312
1. What is the LCM of 393, 195, 222, 975, 312?
Answer: LCM of 393, 195, 222, 975, 312 is 37806600.
2. How to calculate the LCM of 393, 195, 222, 975, 312?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 393, 195, 222, 975, 312.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.