LCM of 443, 680, 874, 265, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 680, 874, 265, 323 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, 680, 874, 265, 323. So, keep reading to learn more.
Given numbers are 443,680,874,265,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,680,874,265,323 is 6977019640.
Find LCM of 443,680,874,265,323 with Prime Factorization
| 2 | 443, 680, 874, 265, 323 |
| 5 | 443, 340, 437, 265, 323 |
| 17 | 443, 68, 437, 53, 323 |
| 19 | 443, 4, 437, 53, 19 |
| 443, 4, 23, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 19 x 443 x 4 x 23 x 53 x 1 = 6977019640
Therefore, the lowest common multiple of 443,680,874,265,323 is 6977019640.
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 680 x 874 x 265 x 323 = 22535773437200
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
874 : 1, 2, 19, 23, 38, 46, 437, 874
265 : 1, 5, 53, 265
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,680,874,265,323, is 1.
Now, the common factors can be found like this.
443:443
680:2x 2x 2x 5x 17
874:2x 19x 23
265:5x 53
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 19 = 3230
Therefore, the value for common factors is 3230.
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 = 22535773437200/(1x3230)
LCM = 22535773437200/3230
LCM = 6977019640
Thus, we can understand that the LCM of 443,680,874,265,323 is 6977019640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 443, 680, 874, 265, 323
1. What is the LCM of 443, 680, 874, 265, 323?
Answer: LCM of 443, 680, 874, 265, 323 is 6977019640.
2. How to calculate the LCM of 443, 680, 874, 265, 323?
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, 680, 874, 265, 323.
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}.