LCM of 430, 565, 952, 510, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 430, 565, 952, 510, 461 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 430, 565, 952, 510, 461. So, keep reading to learn more.
Given numbers are 430,565,952,510,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,565,952,510,461 is 31987185720.
Find LCM of 430,565,952,510,461 with Prime Factorization
| 2 | 430, 565, 952, 510, 461 |
| 5 | 215, 565, 476, 255, 461 |
| 17 | 43, 113, 476, 51, 461 |
| 43, 113, 28, 3, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 43 x 113 x 28 x 3 x 461 = 31987185720
Therefore, the lowest common multiple of 430,565,952,510,461 is 31987185720.
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.
430 x 565 x 952 x 510 x 461 = 54378215724000
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
565 : 1, 5, 113, 565
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,565,952,510,461, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
565:5x 113
952:2x 2x 2x 7x 17
510:2x 3x 5x 17
461:461
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 5x 5x 17 = 1700
Therefore, the value for common factors is 1700.
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 = 54378215724000/(1x1700)
LCM = 54378215724000/1700
LCM = 31987185720
Thus, we can understand that the LCM of 430,565,952,510,461 is 31987185720.
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FAQs on LCM of 430, 565, 952, 510, 461
1. What is the LCM of 430, 565, 952, 510, 461?
Answer: LCM of 430, 565, 952, 510, 461 is 31987185720.
2. How to calculate the LCM of 430, 565, 952, 510, 461?
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 430, 565, 952, 510, 461.
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}.