LCM of 443, 572, 221, 346, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 572, 221, 346, 916 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 443, 572, 221, 346, 916. So, keep reading to learn more.
Given numbers are 443,572,221,346,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,572,221,346,916 is 170659418644.
Find LCM of 443,572,221,346,916 with Prime Factorization
| 2 | 443, 572, 221, 346, 916 |
| 2 | 443, 286, 221, 173, 458 |
| 13 | 443, 143, 221, 173, 229 |
| 443, 11, 17, 173, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 443 x 11 x 17 x 173 x 229 = 170659418644
Therefore, the lowest common multiple of 443,572,221,346,916 is 170659418644.
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.
443 x 572 x 221 x 346 x 916 = 17748579538976
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.
443 : 1, 443
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
221 : 1, 13, 17, 221
346 : 1, 2, 173, 346
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,572,221,346,916, is 1.
Now, the common factors can be found like this.
443:443
572:2x 2x 11x 13
221:13x 17
346:2x 173
916:2x 2x 229
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 13 = 104
Therefore, the value for common factors is 104.
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 = 17748579538976/(1x104)
LCM = 17748579538976/104
LCM = 170659418644
Thus, we can understand that the LCM of 443,572,221,346,916 is 170659418644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 443, 572, 221, 346, 916
1. What is the LCM of 443, 572, 221, 346, 916?
Answer: LCM of 443, 572, 221, 346, 916 is 170659418644.
2. How to calculate the LCM of 443, 572, 221, 346, 916?
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 443, 572, 221, 346, 916.
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}.