Find the LCM of 767, 620, 590, 350, 455 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 767, 620, 590, 350, 455. So, keep reading to learn more.
Given numbers are 767,620,590,350,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,620,590,350,455 is 16643900.
Find LCM of 767,620,590,350,455 with Prime Factorization
2 | 767, 620, 590, 350, 455 |
5 | 767, 310, 295, 175, 455 |
7 | 767, 62, 59, 35, 91 |
13 | 767, 62, 59, 5, 13 |
59 | 59, 62, 59, 5, 1 |
1, 62, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 59 x 1 x 62 x 1 x 5 x 1 = 16643900
Therefore, the lowest common multiple of 767,620,590,350,455 is 16643900.
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.
767 x 620 x 590 x 350 x 455 = 44680549550000
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.
767 : 1, 13, 59, 767
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
590 : 1, 2, 5, 10, 59, 118, 295, 590
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,620,590,350,455, is 1.
Now, the common factors can be found like this.
767:13x 59
620:2x 2x 5x 31
590:2x 5x 59
350:2x 5x 5x 7
455:5x 7x 13
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 5x 5x 5x 7x 13x 59 = 2684500
Therefore, the value for common factors is 2684500.
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 = 44680549550000/(1x2684500)
LCM = 44680549550000/2684500
LCM = 16643900
Thus, we can understand that the LCM of 767,620,590,350,455 is 16643900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 620, 590, 350, 455?
Answer: LCM of 767, 620, 590, 350, 455 is 16643900.
2. How to calculate the LCM of 767, 620, 590, 350, 455?
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 767, 620, 590, 350, 455.
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}.