LCM of 310, 901, 780, 289, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 901, 780, 289, 832 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 310, 901, 780, 289, 832. So, keep reading to learn more.
Given numbers are 310,901,780,289,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,901,780,289,832 is 5925840960.
Find LCM of 310,901,780,289,832 with Prime Factorization
| 2 | 310, 901, 780, 289, 832 |
| 2 | 155, 901, 390, 289, 416 |
| 5 | 155, 901, 195, 289, 208 |
| 13 | 31, 901, 39, 289, 208 |
| 17 | 31, 901, 3, 289, 16 |
| 31, 53, 3, 17, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 31 x 53 x 3 x 17 x 16 = 5925840960
Therefore, the lowest common multiple of 310,901,780,289,832 is 5925840960.
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.
310 x 901 x 780 x 289 x 832 = 52384434086400
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
901 : 1, 17, 53, 901
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
289 : 1, 17, 289
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,901,780,289,832, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
901:17x 53
780:2x 2x 3x 5x 13
289:17x 17
832:2x 2x 2x 2x 2x 2x 13
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 5x 13x 17 = 8840
Therefore, the value for common factors is 8840.
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 = 52384434086400/(1x8840)
LCM = 52384434086400/8840
LCM = 5925840960
Thus, we can understand that the LCM of 310,901,780,289,832 is 5925840960.
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FAQs on LCM of 310, 901, 780, 289, 832
1. What is the LCM of 310, 901, 780, 289, 832?
Answer: LCM of 310, 901, 780, 289, 832 is 5925840960.
2. How to calculate the LCM of 310, 901, 780, 289, 832?
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 310, 901, 780, 289, 832.
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}.