LCM of 583, 901, 888, 962, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 901, 888, 962, 980 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 583, 901, 888, 962, 980. So, keep reading to learn more.
Given numbers are 583,901,888,962,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,901,888,962,980 is 28031083080.
Find LCM of 583,901,888,962,980 with Prime Factorization
| 2 | 583, 901, 888, 962, 980 |
| 2 | 583, 901, 444, 481, 490 |
| 37 | 583, 901, 222, 481, 245 |
| 53 | 583, 901, 6, 13, 245 |
| 11, 17, 6, 13, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 53 x 11 x 17 x 6 x 13 x 245 = 28031083080
Therefore, the lowest common multiple of 583,901,888,962,980 is 28031083080.
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.
583 x 901 x 888 x 962 x 980 = 439751631359040
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.
583 : 1, 11, 53, 583
901 : 1, 17, 53, 901
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
962 : 1, 2, 13, 26, 37, 74, 481, 962
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,901,888,962,980, is 1.
Now, the common factors can be found like this.
583:11x 53
901:17x 53
888:2x 2x 2x 3x 37
962:2x 13x 37
980:2x 2x 5x 7x 7
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 37x 53 = 15688
Therefore, the value for common factors is 15688.
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 = 439751631359040/(1x15688)
LCM = 439751631359040/15688
LCM = 28031083080
Thus, we can understand that the LCM of 583,901,888,962,980 is 28031083080.
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FAQs on LCM of 583, 901, 888, 962, 980
1. What is the LCM of 583, 901, 888, 962, 980?
Answer: LCM of 583, 901, 888, 962, 980 is 28031083080.
2. How to calculate the LCM of 583, 901, 888, 962, 980?
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 583, 901, 888, 962, 980.
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}.