Find the LCM of 721, 255, 370, 980, 391 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, 255, 370, 980, 391. So, keep reading to learn more.
Given numbers are 721,255,370,980,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,255,370,980,391 is 4380896940.
Find LCM of 721,255,370,980,391 with Prime Factorization
2 | 721, 255, 370, 980, 391 |
5 | 721, 255, 185, 490, 391 |
7 | 721, 51, 37, 98, 391 |
17 | 103, 51, 37, 14, 391 |
103, 3, 37, 14, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 103 x 3 x 37 x 14 x 23 = 4380896940
Therefore, the lowest common multiple of 721,255,370,980,391 is 4380896940.
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 255 x 370 x 980 x 391 = 26066336793000
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
255 : 1, 3, 5, 15, 17, 51, 85, 255
370 : 1, 2, 5, 10, 37, 74, 185, 370
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,255,370,980,391, is 1.
Now, the common factors can be found like this.
721:7x 103
255:3x 5x 17
370:2x 5x 37
980:2x 2x 5x 7x 7
391:17x 23
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 5x 7x 17 = 5950
Therefore, the value for common factors is 5950.
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 = 26066336793000/(1x5950)
LCM = 26066336793000/5950
LCM = 4380896940
Thus, we can understand that the LCM of 721,255,370,980,391 is 4380896940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 255, 370, 980, 391?
Answer: LCM of 721, 255, 370, 980, 391 is 4380896940.
2. How to calculate the LCM of 721, 255, 370, 980, 391?
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, 255, 370, 980, 391.
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}.