LCM of 396, 217, 795, 583, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 217, 795, 583, 136 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 396, 217, 795, 583, 136. So, keep reading to learn more.
Given numbers are 396,217,795,583,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,217,795,583,136 is 774247320.
Find LCM of 396,217,795,583,136 with Prime Factorization
| 2 | 396, 217, 795, 583, 136 |
| 2 | 198, 217, 795, 583, 68 |
| 3 | 99, 217, 795, 583, 34 |
| 11 | 33, 217, 265, 583, 34 |
| 53 | 3, 217, 265, 53, 34 |
| 3, 217, 5, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 53 x 3 x 217 x 5 x 1 x 34 = 774247320
Therefore, the lowest common multiple of 396,217,795,583,136 is 774247320.
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.
396 x 217 x 795 x 583 x 136 = 5416634250720
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
217 : 1, 7, 31, 217
795 : 1, 3, 5, 15, 53, 159, 265, 795
583 : 1, 11, 53, 583
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,217,795,583,136, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
217:7x 31
795:3x 5x 53
583:11x 53
136:2x 2x 2x 17
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 11x 53 = 6996
Therefore, the value for common factors is 6996.
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 = 5416634250720/(1x6996)
LCM = 5416634250720/6996
LCM = 774247320
Thus, we can understand that the LCM of 396,217,795,583,136 is 774247320.
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FAQs on LCM of 396, 217, 795, 583, 136
1. What is the LCM of 396, 217, 795, 583, 136?
Answer: LCM of 396, 217, 795, 583, 136 is 774247320.
2. How to calculate the LCM of 396, 217, 795, 583, 136?
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 396, 217, 795, 583, 136.
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}.