LCM of 606, 808, 408, 730, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 808, 408, 730, 152 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 606, 808, 408, 730, 152. So, keep reading to learn more.
Given numbers are 606,808,408,730,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,808,408,730,152 is 285777480.
Find LCM of 606,808,408,730,152 with Prime Factorization
| 2 | 606, 808, 408, 730, 152 |
| 2 | 303, 404, 204, 365, 76 |
| 2 | 303, 202, 102, 365, 38 |
| 3 | 303, 101, 51, 365, 19 |
| 101 | 101, 101, 17, 365, 19 |
| 1, 1, 17, 365, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 1 x 1 x 17 x 365 x 19 = 285777480
Therefore, the lowest common multiple of 606,808,408,730,152 is 285777480.
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.
606 x 808 x 408 x 730 x 152 = 22167187568640
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
808 : 1, 2, 4, 8, 101, 202, 404, 808
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
730 : 1, 2, 5, 10, 73, 146, 365, 730
152 : 1, 2, 4, 8, 19, 38, 76, 152
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,808,408,730,152, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
808:2x 2x 2x 101
408:2x 2x 2x 3x 17
730:2x 5x 73
152:2x 2x 2x 19
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 2x 2x 3x 101 = 38784
Therefore, the value for common factors is 38784.
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 = 22167187568640/(2x38784)
LCM = 22167187568640/77568
LCM = 285777480
Thus, we can understand that the LCM of 606,808,408,730,152 is 285777480.
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FAQs on LCM of 606, 808, 408, 730, 152
1. What is the LCM of 606, 808, 408, 730, 152?
Answer: LCM of 606, 808, 408, 730, 152 is 285777480.
2. How to calculate the LCM of 606, 808, 408, 730, 152?
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 606, 808, 408, 730, 152.
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}.