LCM of 390, 617, 299, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 617, 299, 184 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, 617, 299, 184. So, keep reading to learn more.
Given numbers are 390,617,299,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,617,299,184 is 22137960.
Find LCM of 390,617,299,184 with Prime Factorization
| 2 | 390, 617, 299, 184 |
| 13 | 195, 617, 299, 92 |
| 23 | 15, 617, 23, 92 |
| 15, 617, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 15 x 617 x 1 x 4 = 22137960
Therefore, the lowest common multiple of 390,617,299,184 is 22137960.
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 617 x 299 x 184 = 13238500080
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
617 : 1, 617
299 : 1, 13, 23, 299
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,617,299,184, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
617:617
299:13x 23
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 23 = 598
Therefore, the value for common factors is 598.
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 = 13238500080/(1x598)
LCM = 13238500080/598
LCM = 22137960
Thus, we can understand that the LCM of 390,617,299,184 is 22137960.
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FAQs on LCM of 390, 617, 299, 184
1. What is the LCM of 390, 617, 299, 184?
Answer: LCM of 390, 617, 299, 184 is 22137960.
2. How to calculate the LCM of 390, 617, 299, 184?
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, 617, 299, 184.
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}.