Find the LCM of 720, 463, 278, 955, 580 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 720, 463, 278, 955, 580. So, keep reading to learn more.
Given numbers are 720,463,278,955,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,463,278,955,580 is 256660864560.
Find LCM of 720,463,278,955,580 with Prime Factorization
2 | 720, 463, 278, 955, 580 |
2 | 360, 463, 139, 955, 290 |
5 | 180, 463, 139, 955, 145 |
36, 463, 139, 191, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 36 x 463 x 139 x 191 x 29 = 256660864560
Therefore, the lowest common multiple of 720,463,278,955,580 is 256660864560.
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.
720 x 463 x 278 x 955 x 580 = 51332172912000
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
463 : 1, 463
278 : 1, 2, 139, 278
955 : 1, 5, 191, 955
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,463,278,955,580, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
463:463
278:2x 139
955:5x 191
580:2x 2x 5x 29
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 51332172912000/(1x200)
LCM = 51332172912000/200
LCM = 256660864560
Thus, we can understand that the LCM of 720,463,278,955,580 is 256660864560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 463, 278, 955, 580?
Answer: LCM of 720, 463, 278, 955, 580 is 256660864560.
2. How to calculate the LCM of 720, 463, 278, 955, 580?
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 720, 463, 278, 955, 580.
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}.