Find the LCM of 505, 468, 767, 910 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 505, 468, 767, 910. So, keep reading to learn more.
Given numbers are 505,468,767,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,468,767,910 is 97608420.
Find LCM of 505,468,767,910 with Prime Factorization
2 | 505, 468, 767, 910 |
5 | 505, 234, 767, 455 |
13 | 101, 234, 767, 91 |
101, 18, 59, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 101 x 18 x 59 x 7 = 97608420
Therefore, the lowest common multiple of 505,468,767,910 is 97608420.
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.
505 x 468 x 767 x 910 = 164958229800
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.
505 : 1, 5, 101, 505
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
767 : 1, 13, 59, 767
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,468,767,910, is 1.
Now, the common factors can be found like this.
505:5x 101
468:2x 2x 3x 3x 13
767:13x 59
910:2x 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 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 164958229800/(1x1690)
LCM = 164958229800/1690
LCM = 97608420
Thus, we can understand that the LCM of 505,468,767,910 is 97608420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 468, 767, 910?
Answer: LCM of 505, 468, 767, 910 is 97608420.
2. How to calculate the LCM of 505, 468, 767, 910?
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 505, 468, 767, 910.
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}.