LCM of 649, 115, 376, 732, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 115, 376, 732, 805 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 649, 115, 376, 732, 805. So, keep reading to learn more.
Given numbers are 649,115,376,732,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,115,376,732,805 is 35948395560.
Find LCM of 649,115,376,732,805 with Prime Factorization
| 2 | 649, 115, 376, 732, 805 |
| 2 | 649, 115, 188, 366, 805 |
| 5 | 649, 115, 94, 183, 805 |
| 23 | 649, 23, 94, 183, 161 |
| 649, 1, 94, 183, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 649 x 1 x 94 x 183 x 7 = 35948395560
Therefore, the lowest common multiple of 649,115,376,732,805 is 35948395560.
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.
649 x 115 x 376 x 732 x 805 = 16536261957600
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.
649 : 1, 11, 59, 649
115 : 1, 5, 23, 115
376 : 1, 2, 4, 8, 47, 94, 188, 376
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,115,376,732,805, is 1.
Now, the common factors can be found like this.
649:11x 59
115:5x 23
376:2x 2x 2x 47
732:2x 2x 3x 61
805:5x 7x 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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 16536261957600/(1x460)
LCM = 16536261957600/460
LCM = 35948395560
Thus, we can understand that the LCM of 649,115,376,732,805 is 35948395560.
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FAQs on LCM of 649, 115, 376, 732, 805
1. What is the LCM of 649, 115, 376, 732, 805?
Answer: LCM of 649, 115, 376, 732, 805 is 35948395560.
2. How to calculate the LCM of 649, 115, 376, 732, 805?
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 649, 115, 376, 732, 805.
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}.