LCM of 567, 631, 814, 870, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 631, 814, 870, 427 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 567, 631, 814, 870, 427. So, keep reading to learn more.
Given numbers are 567,631,814,870,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,631,814,870,427 is 2575933577910.
Find LCM of 567,631,814,870,427 with Prime Factorization
| 2 | 567, 631, 814, 870, 427 |
| 3 | 567, 631, 407, 435, 427 |
| 7 | 189, 631, 407, 145, 427 |
| 27, 631, 407, 145, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 27 x 631 x 407 x 145 x 61 = 2575933577910
Therefore, the lowest common multiple of 567,631,814,870,427 is 2575933577910.
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.
567 x 631 x 814 x 870 x 427 = 108189210272220
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
631 : 1, 631
814 : 1, 2, 11, 22, 37, 74, 407, 814
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,631,814,870,427, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
631:631
814:2x 11x 37
870:2x 3x 5x 29
427:7x 61
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 7 = 42
Therefore, the value for common factors is 42.
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 = 108189210272220/(1x42)
LCM = 108189210272220/42
LCM = 2575933577910
Thus, we can understand that the LCM of 567,631,814,870,427 is 2575933577910.
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FAQs on LCM of 567, 631, 814, 870, 427
1. What is the LCM of 567, 631, 814, 870, 427?
Answer: LCM of 567, 631, 814, 870, 427 is 2575933577910.
2. How to calculate the LCM of 567, 631, 814, 870, 427?
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 567, 631, 814, 870, 427.
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}.