LCM of 920, 412, 946, 518, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 412, 946, 518, 829 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 920, 412, 946, 518, 829. So, keep reading to learn more.
Given numbers are 920,412,946,518,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,412,946,518,829 is 9623664792280.
Find LCM of 920,412,946,518,829 with Prime Factorization
| 2 | 920, 412, 946, 518, 829 |
| 2 | 460, 206, 473, 259, 829 |
| 230, 103, 473, 259, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 230 x 103 x 473 x 259 x 829 = 9623664792280
Therefore, the lowest common multiple of 920,412,946,518,829 is 9623664792280.
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.
920 x 412 x 946 x 518 x 829 = 153978636676480
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
412 : 1, 2, 4, 103, 206, 412
946 : 1, 2, 11, 22, 43, 86, 473, 946
518 : 1, 2, 7, 14, 37, 74, 259, 518
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,412,946,518,829, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
412:2x 2x 103
946:2x 11x 43
518:2x 7x 37
829:829
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 2 = 16
Therefore, the value for common factors is 16.
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 = 153978636676480/(1x16)
LCM = 153978636676480/16
LCM = 9623664792280
Thus, we can understand that the LCM of 920,412,946,518,829 is 9623664792280.
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FAQs on LCM of 920, 412, 946, 518, 829
1. What is the LCM of 920, 412, 946, 518, 829?
Answer: LCM of 920, 412, 946, 518, 829 is 9623664792280.
2. How to calculate the LCM of 920, 412, 946, 518, 829?
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 920, 412, 946, 518, 829.
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}.