LCM of 805, 563, 784, 720, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 563, 784, 720, 408 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, 563, 784, 720, 408. So, keep reading to learn more.
Given numbers are 805,563,784,720,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,563,784,720,408 is 7766292240.
Find LCM of 805,563,784,720,408 with Prime Factorization
| 2 | 805, 563, 784, 720, 408 |
| 2 | 805, 563, 392, 360, 204 |
| 2 | 805, 563, 196, 180, 102 |
| 2 | 805, 563, 98, 90, 51 |
| 3 | 805, 563, 49, 45, 51 |
| 5 | 805, 563, 49, 15, 17 |
| 7 | 161, 563, 49, 3, 17 |
| 23, 563, 7, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 563 x 7 x 3 x 17 = 7766292240
Therefore, the lowest common multiple of 805,563,784,720,408 is 7766292240.
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 563 x 784 x 720 x 408 = 104378967705600
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
563 : 1, 563
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,563,784,720,408, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
563:563
784:2x 2x 2x 2x 7x 7
720:2x 2x 2x 2x 3x 3x 5
408:2x 2x 2x 3x 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 2x 2x 2x 2x 2x 3x 5x 7 = 13440
Therefore, the value for common factors is 13440.
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 = 104378967705600/(1x13440)
LCM = 104378967705600/13440
LCM = 7766292240
Thus, we can understand that the LCM of 805,563,784,720,408 is 7766292240.
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FAQs on LCM of 805, 563, 784, 720, 408
1. What is the LCM of 805, 563, 784, 720, 408?
Answer: LCM of 805, 563, 784, 720, 408 is 7766292240.
2. How to calculate the LCM of 805, 563, 784, 720, 408?
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, 563, 784, 720, 408.
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}.