LCM of 805, 318, 551, 522, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 318, 551, 522, 414 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 805, 318, 551, 522, 414. So, keep reading to learn more.
Given numbers are 805,318,551,522,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,318,551,522,414 is 423151470.
Find LCM of 805,318,551,522,414 with Prime Factorization
| 2 | 805, 318, 551, 522, 414 |
| 3 | 805, 159, 551, 261, 207 |
| 3 | 805, 53, 551, 87, 69 |
| 23 | 805, 53, 551, 29, 23 |
| 29 | 35, 53, 551, 29, 1 |
| 35, 53, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 29 x 35 x 53 x 19 x 1 x 1 = 423151470
Therefore, the lowest common multiple of 805,318,551,522,414 is 423151470.
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.
805 x 318 x 551 x 522 x 414 = 30482139292920
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
318 : 1, 2, 3, 6, 53, 106, 159, 318
551 : 1, 19, 29, 551
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,318,551,522,414, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
318:2x 3x 53
551:19x 29
522:2x 3x 3x 29
414:2x 3x 3x 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 2x 3x 3x 3x 23x 29 = 72036
Therefore, the value for common factors is 72036.
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 = 30482139292920/(1x72036)
LCM = 30482139292920/72036
LCM = 423151470
Thus, we can understand that the LCM of 805,318,551,522,414 is 423151470.
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FAQs on LCM of 805, 318, 551, 522, 414
1. What is the LCM of 805, 318, 551, 522, 414?
Answer: LCM of 805, 318, 551, 522, 414 is 423151470.
2. How to calculate the LCM of 805, 318, 551, 522, 414?
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 805, 318, 551, 522, 414.
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}.