LCM of 901, 633, 667, 870, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 633, 667, 870, 696 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 901, 633, 667, 870, 696. So, keep reading to learn more.
Given numbers are 901,633,667,870,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,633,667,870,696 is 15216484440.
Find LCM of 901,633,667,870,696 with Prime Factorization
| 2 | 901, 633, 667, 870, 696 |
| 3 | 901, 633, 667, 435, 348 |
| 29 | 901, 211, 667, 145, 116 |
| 901, 211, 23, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 901 x 211 x 23 x 5 x 4 = 15216484440
Therefore, the lowest common multiple of 901,633,667,870,696 is 15216484440.
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.
901 x 633 x 667 x 870 x 696 = 230347141452720
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.
901 : 1, 17, 53, 901
633 : 1, 3, 211, 633
667 : 1, 23, 29, 667
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,633,667,870,696, is 1.
Now, the common factors can be found like this.
901:17x 53
633:3x 211
667:23x 29
870:2x 3x 5x 29
696:2x 2x 2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 29x 29 = 15138
Therefore, the value for common factors is 15138.
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 = 230347141452720/(1x15138)
LCM = 230347141452720/15138
LCM = 15216484440
Thus, we can understand that the LCM of 901,633,667,870,696 is 15216484440.
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FAQs on LCM of 901, 633, 667, 870, 696
1. What is the LCM of 901, 633, 667, 870, 696?
Answer: LCM of 901, 633, 667, 870, 696 is 15216484440.
2. How to calculate the LCM of 901, 633, 667, 870, 696?
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 901, 633, 667, 870, 696.
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}.