LCM of 646, 529, 220, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 529, 220, 821 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 646, 529, 220, 821. So, keep reading to learn more.
Given numbers are 646,529,220,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,529,220,821 is 30861997540.
Find LCM of 646,529,220,821 with Prime Factorization
| 2 | 646, 529, 220, 821 |
| 323, 529, 110, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 323 x 529 x 110 x 821 = 30861997540
Therefore, the lowest common multiple of 646,529,220,821 is 30861997540.
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.
646 x 529 x 220 x 821 = 61723995080
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
529 : 1, 23, 529
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,529,220,821, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
529:23x 23
220:2x 2x 5x 11
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 61723995080/(1x2)
LCM = 61723995080/2
LCM = 30861997540
Thus, we can understand that the LCM of 646,529,220,821 is 30861997540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 646, 529, 220, 821
1. What is the LCM of 646, 529, 220, 821?
Answer: LCM of 646, 529, 220, 821 is 30861997540.
2. How to calculate the LCM of 646, 529, 220, 821?
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 646, 529, 220, 821.
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}.