Find the LCM of 780, 555, 764, 299, 446 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 780, 555, 764, 299, 446. So, keep reading to learn more.
Given numbers are 780,555,764,299,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,555,764,299,446 is 28272381540.
Find LCM of 780,555,764,299,446 with Prime Factorization
2 | 780, 555, 764, 299, 446 |
2 | 390, 555, 382, 299, 223 |
3 | 195, 555, 191, 299, 223 |
5 | 65, 185, 191, 299, 223 |
13 | 13, 37, 191, 299, 223 |
1, 37, 191, 23, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 37 x 191 x 23 x 223 = 28272381540
Therefore, the lowest common multiple of 780,555,764,299,446 is 28272381540.
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.
780 x 555 x 764 x 299 x 446 = 44104915202400
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
555 : 1, 3, 5, 15, 37, 111, 185, 555
764 : 1, 2, 4, 191, 382, 764
299 : 1, 13, 23, 299
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,555,764,299,446, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
555:3x 5x 37
764:2x 2x 191
299:13x 23
446:2x 223
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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 44104915202400/(1x1560)
LCM = 44104915202400/1560
LCM = 28272381540
Thus, we can understand that the LCM of 780,555,764,299,446 is 28272381540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 555, 764, 299, 446?
Answer: LCM of 780, 555, 764, 299, 446 is 28272381540.
2. How to calculate the LCM of 780, 555, 764, 299, 446?
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 780, 555, 764, 299, 446.
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}.