LCM of 851, 530, 742, 920, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 530, 742, 920, 406 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 851, 530, 742, 920, 406. So, keep reading to learn more.
Given numbers are 851,530,742,920,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,530,742,920,406 is 366236360.
Find LCM of 851,530,742,920,406 with Prime Factorization
| 2 | 851, 530, 742, 920, 406 |
| 5 | 851, 265, 371, 460, 203 |
| 7 | 851, 53, 371, 92, 203 |
| 23 | 851, 53, 53, 92, 29 |
| 53 | 37, 53, 53, 4, 29 |
| 37, 1, 1, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 23 x 53 x 37 x 1 x 1 x 4 x 29 = 366236360
Therefore, the lowest common multiple of 851,530,742,920,406 is 366236360.
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.
851 x 530 x 742 x 920 x 406 = 125003794395200
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.
851 : 1, 23, 37, 851
530 : 1, 2, 5, 10, 53, 106, 265, 530
742 : 1, 2, 7, 14, 53, 106, 371, 742
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,530,742,920,406, is 1.
Now, the common factors can be found like this.
851:23x 37
530:2x 5x 53
742:2x 7x 53
920:2x 2x 2x 5x 23
406:2x 7x 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 5x 7x 23x 53 = 341320
Therefore, the value for common factors is 341320.
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 = 125003794395200/(1x341320)
LCM = 125003794395200/341320
LCM = 366236360
Thus, we can understand that the LCM of 851,530,742,920,406 is 366236360.
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FAQs on LCM of 851, 530, 742, 920, 406
1. What is the LCM of 851, 530, 742, 920, 406?
Answer: LCM of 851, 530, 742, 920, 406 is 366236360.
2. How to calculate the LCM of 851, 530, 742, 920, 406?
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 851, 530, 742, 920, 406.
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}.