LCM of 869, 187, 190, 570, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 187, 190, 570, 629 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 869, 187, 190, 570, 629. So, keep reading to learn more.
Given numbers are 869,187,190,570,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,187,190,570,629 is 311562570.
Find LCM of 869,187,190,570,629 with Prime Factorization
| 2 | 869, 187, 190, 570, 629 |
| 5 | 869, 187, 95, 285, 629 |
| 11 | 869, 187, 19, 57, 629 |
| 17 | 79, 17, 19, 57, 629 |
| 19 | 79, 1, 19, 57, 37 |
| 79, 1, 1, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 19 x 79 x 1 x 1 x 3 x 37 = 311562570
Therefore, the lowest common multiple of 869,187,190,570,629 is 311562570.
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.
869 x 187 x 190 x 570 x 629 = 11069818112100
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.
869 : 1, 11, 79, 869
187 : 1, 11, 17, 187
190 : 1, 2, 5, 10, 19, 38, 95, 190
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,187,190,570,629, is 1.
Now, the common factors can be found like this.
869:11x 79
187:11x 17
190:2x 5x 19
570:2x 3x 5x 19
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 17x 19 = 35530
Therefore, the value for common factors is 35530.
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 = 11069818112100/(1x35530)
LCM = 11069818112100/35530
LCM = 311562570
Thus, we can understand that the LCM of 869,187,190,570,629 is 311562570.
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FAQs on LCM of 869, 187, 190, 570, 629
1. What is the LCM of 869, 187, 190, 570, 629?
Answer: LCM of 869, 187, 190, 570, 629 is 311562570.
2. How to calculate the LCM of 869, 187, 190, 570, 629?
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 869, 187, 190, 570, 629.
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}.