Find the LCM of 721, 794, 104, 918, 282 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 721, 794, 104, 918, 282. So, keep reading to learn more.
Given numbers are 721,794,104,918,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,794,104,918,282 is 642199043304.
Find LCM of 721,794,104,918,282 with Prime Factorization
2 | 721, 794, 104, 918, 282 |
3 | 721, 397, 52, 459, 141 |
721, 397, 52, 153, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 721 x 397 x 52 x 153 x 47 = 642199043304
Therefore, the lowest common multiple of 721,794,104,918,282 is 642199043304.
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.
721 x 794 x 104 x 918 x 282 = 15412777039296
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.
721 : 1, 7, 103, 721
794 : 1, 2, 397, 794
104 : 1, 2, 4, 8, 13, 26, 52, 104
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,794,104,918,282, is 1.
Now, the common factors can be found like this.
721:7x 103
794:2x 397
104:2x 2x 2x 13
918:2x 3x 3x 3x 17
282:2x 3x 47
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 3 = 24
Therefore, the value for common factors is 24.
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 = 15412777039296/(1x24)
LCM = 15412777039296/24
LCM = 642199043304
Thus, we can understand that the LCM of 721,794,104,918,282 is 642199043304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 794, 104, 918, 282?
Answer: LCM of 721, 794, 104, 918, 282 is 642199043304.
2. How to calculate the LCM of 721, 794, 104, 918, 282?
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 721, 794, 104, 918, 282.
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}.