LCM of 565, 629, 950, 901, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 629, 950, 901, 690 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 565, 629, 950, 901, 690. So, keep reading to learn more.
Given numbers are 565,629,950,901,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,629,950,901,690 is 246932159550.
Find LCM of 565,629,950,901,690 with Prime Factorization
| 2 | 565, 629, 950, 901, 690 |
| 5 | 565, 629, 475, 901, 345 |
| 17 | 113, 629, 95, 901, 69 |
| 113, 37, 95, 53, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 113 x 37 x 95 x 53 x 69 = 246932159550
Therefore, the lowest common multiple of 565,629,950,901,690 is 246932159550.
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.
565 x 629 x 950 x 901 x 690 = 209892335617500
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.
565 : 1, 5, 113, 565
629 : 1, 17, 37, 629
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
901 : 1, 17, 53, 901
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,629,950,901,690, is 1.
Now, the common factors can be found like this.
565:5x 113
629:17x 37
950:2x 5x 5x 19
901:17x 53
690:2x 3x 5x 23
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 5x 17 = 850
Therefore, the value for common factors is 850.
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 = 209892335617500/(1x850)
LCM = 209892335617500/850
LCM = 246932159550
Thus, we can understand that the LCM of 565,629,950,901,690 is 246932159550.
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FAQs on LCM of 565, 629, 950, 901, 690
1. What is the LCM of 565, 629, 950, 901, 690?
Answer: LCM of 565, 629, 950, 901, 690 is 246932159550.
2. How to calculate the LCM of 565, 629, 950, 901, 690?
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 565, 629, 950, 901, 690.
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}.