LCM of 521, 609, 169, 417, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 609, 169, 417, 812 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 521, 609, 169, 417, 812. So, keep reading to learn more.
Given numbers are 521,609,169,417,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,609,169,417,812 is 29813743596.
Find LCM of 521,609,169,417,812 with Prime Factorization
| 3 | 521, 609, 169, 417, 812 |
| 7 | 521, 203, 169, 139, 812 |
| 29 | 521, 29, 169, 139, 116 |
| 521, 1, 169, 139, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 29 x 521 x 1 x 169 x 139 x 4 = 29813743596
Therefore, the lowest common multiple of 521,609,169,417,812 is 29813743596.
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.
521 x 609 x 169 x 417 x 812 = 18156569849964
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.
521 : 1, 521
609 : 1, 3, 7, 21, 29, 87, 203, 609
169 : 1, 13, 169
417 : 1, 3, 139, 417
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,609,169,417,812, is 1.
Now, the common factors can be found like this.
521:521
609:3x 7x 29
169:13x 13
417:3x 139
812:2x 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.
3x 7x 29 = 609
Therefore, the value for common factors is 609.
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 = 18156569849964/(1x609)
LCM = 18156569849964/609
LCM = 29813743596
Thus, we can understand that the LCM of 521,609,169,417,812 is 29813743596.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 521, 609, 169, 417, 812
1. What is the LCM of 521, 609, 169, 417, 812?
Answer: LCM of 521, 609, 169, 417, 812 is 29813743596.
2. How to calculate the LCM of 521, 609, 169, 417, 812?
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 521, 609, 169, 417, 812.
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}.