LCM of 390, 564, 807, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 564, 807, 330 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 390, 564, 807, 330. So, keep reading to learn more.
Given numbers are 390,564,807,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,564,807,330 is 108476940.
Find LCM of 390,564,807,330 with Prime Factorization
| 2 | 390, 564, 807, 330 |
| 3 | 195, 282, 807, 165 |
| 5 | 65, 94, 269, 55 |
| 13, 94, 269, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 94 x 269 x 11 = 108476940
Therefore, the lowest common multiple of 390,564,807,330 is 108476940.
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.
390 x 564 x 807 x 330 = 58577547600
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
807 : 1, 3, 269, 807
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,564,807,330, is 3.
Now, the common factors can be found like this.
390:2x 3x 5x 13
564:2x 2x 3x 47
807:3x 269
330:2x 3x 5x 11
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 58577547600/(3x180)
LCM = 58577547600/540
LCM = 108476940
Thus, we can understand that the LCM of 390,564,807,330 is 108476940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 390, 564, 807, 330
1. What is the LCM of 390, 564, 807, 330?
Answer: LCM of 390, 564, 807, 330 is 108476940.
2. How to calculate the LCM of 390, 564, 807, 330?
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 390, 564, 807, 330.
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}.