LCM of 630, 455, 935, 795, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 455, 935, 795, 998 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 630, 455, 935, 795, 998. So, keep reading to learn more.
Given numbers are 630,455,935,795,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,455,935,795,998 is 40504373910.
Find LCM of 630,455,935,795,998 with Prime Factorization
| 2 | 630, 455, 935, 795, 998 |
| 3 | 315, 455, 935, 795, 499 |
| 5 | 105, 455, 935, 265, 499 |
| 7 | 21, 91, 187, 53, 499 |
| 3, 13, 187, 53, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 13 x 187 x 53 x 499 = 40504373910
Therefore, the lowest common multiple of 630,455,935,795,998 is 40504373910.
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.
630 x 455 x 935 x 795 x 998 = 212647963027500
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
455 : 1, 5, 7, 13, 35, 65, 91, 455
935 : 1, 5, 11, 17, 55, 85, 187, 935
795 : 1, 3, 5, 15, 53, 159, 265, 795
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,455,935,795,998, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
455:5x 7x 13
935:5x 11x 17
795:3x 5x 53
998:2x 499
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 5x 5x 5x 7 = 5250
Therefore, the value for common factors is 5250.
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 = 212647963027500/(1x5250)
LCM = 212647963027500/5250
LCM = 40504373910
Thus, we can understand that the LCM of 630,455,935,795,998 is 40504373910.
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FAQs on LCM of 630, 455, 935, 795, 998
1. What is the LCM of 630, 455, 935, 795, 998?
Answer: LCM of 630, 455, 935, 795, 998 is 40504373910.
2. How to calculate the LCM of 630, 455, 935, 795, 998?
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 630, 455, 935, 795, 998.
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}.