Find the LCM of 456, 529, 908, 707 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 456, 529, 908, 707. So, keep reading to learn more.
Given numbers are 456,529,908,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,529,908,707 is 38713798536.
Find LCM of 456,529,908,707 with Prime Factorization
2 | 456, 529, 908, 707 |
2 | 228, 529, 454, 707 |
114, 529, 227, 707 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 114 x 529 x 227 x 707 = 38713798536
Therefore, the lowest common multiple of 456,529,908,707 is 38713798536.
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.
456 x 529 x 908 x 707 = 154855194144
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
529 : 1, 23, 529
908 : 1, 2, 4, 227, 454, 908
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,529,908,707, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
529:23x 23
908:2x 2x 227
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 154855194144/(1x4)
LCM = 154855194144/4
LCM = 38713798536
Thus, we can understand that the LCM of 456,529,908,707 is 38713798536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 456, 529, 908, 707?
Answer: LCM of 456, 529, 908, 707 is 38713798536.
2. How to calculate the LCM of 456, 529, 908, 707?
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 456, 529, 908, 707.
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}.