LCM of 146, 463, 630, 818, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 463, 630, 818, 870 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 146, 463, 630, 818, 870. So, keep reading to learn more.
Given numbers are 146,463,630,818,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,463,630,818,870 is 252560661570.
Find LCM of 146,463,630,818,870 with Prime Factorization
| 2 | 146, 463, 630, 818, 870 |
| 3 | 73, 463, 315, 409, 435 |
| 5 | 73, 463, 105, 409, 145 |
| 73, 463, 21, 409, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 73 x 463 x 21 x 409 x 29 = 252560661570
Therefore, the lowest common multiple of 146,463,630,818,870 is 252560661570.
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.
146 x 463 x 630 x 818 x 870 = 30307279388400
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.
146 : 1, 2, 73, 146
463 : 1, 463
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
818 : 1, 2, 409, 818
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,463,630,818,870, is 1.
Now, the common factors can be found like this.
146:2x 73
463:463
630:2x 3x 3x 5x 7
818:2x 409
870:2x 3x 5x 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 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 30307279388400/(1x120)
LCM = 30307279388400/120
LCM = 252560661570
Thus, we can understand that the LCM of 146,463,630,818,870 is 252560661570.
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FAQs on LCM of 146, 463, 630, 818, 870
1. What is the LCM of 146, 463, 630, 818, 870?
Answer: LCM of 146, 463, 630, 818, 870 is 252560661570.
2. How to calculate the LCM of 146, 463, 630, 818, 870?
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 146, 463, 630, 818, 870.
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}.