LCM of 384, 592, 907, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 592, 907, 222 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 384, 592, 907, 222. So, keep reading to learn more.
Given numbers are 384,592,907,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,592,907,222 is 12886656.
Find LCM of 384,592,907,222 with Prime Factorization
| 2 | 384, 592, 907, 222 |
| 2 | 192, 296, 907, 111 |
| 2 | 96, 148, 907, 111 |
| 2 | 48, 74, 907, 111 |
| 3 | 24, 37, 907, 111 |
| 37 | 8, 37, 907, 37 |
| 8, 1, 907, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 37 x 8 x 1 x 907 x 1 = 12886656
Therefore, the lowest common multiple of 384,592,907,222 is 12886656.
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.
384 x 592 x 907 x 222 = 45773402112
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
907 : 1, 907
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,592,907,222, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
592:2x 2x 2x 2x 37
907:907
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 37 = 3552
Therefore, the value for common factors is 3552.
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 = 45773402112/(1x3552)
LCM = 45773402112/3552
LCM = 12886656
Thus, we can understand that the LCM of 384,592,907,222 is 12886656.
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FAQs on LCM of 384, 592, 907, 222
1. What is the LCM of 384, 592, 907, 222?
Answer: LCM of 384, 592, 907, 222 is 12886656.
2. How to calculate the LCM of 384, 592, 907, 222?
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 384, 592, 907, 222.
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}.