Find the LCM of 151, 715, 598, 651, 437 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 151, 715, 598, 651, 437. So, keep reading to learn more.
Given numbers are 151,715,598,651,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,715,598,651,437 is 61429277910.
Find LCM of 151,715,598,651,437 with Prime Factorization
13 | 151, 715, 598, 651, 437 |
23 | 151, 55, 46, 651, 437 |
151, 55, 2, 651, 19 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 151 x 55 x 2 x 651 x 19 = 61429277910
Therefore, the lowest common multiple of 151,715,598,651,437 is 61429277910.
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.
151 x 715 x 598 x 651 x 437 = 18367354095090
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.
151 : 1, 151
715 : 1, 5, 11, 13, 55, 65, 143, 715
598 : 1, 2, 13, 23, 26, 46, 299, 598
651 : 1, 3, 7, 21, 31, 93, 217, 651
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,715,598,651,437, is 1.
Now, the common factors can be found like this.
151:151
715:5x 11x 13
598:2x 13x 23
651:3x 7x 31
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 18367354095090/(1x299)
LCM = 18367354095090/299
LCM = 61429277910
Thus, we can understand that the LCM of 151,715,598,651,437 is 61429277910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 715, 598, 651, 437?
Answer: LCM of 151, 715, 598, 651, 437 is 61429277910.
2. How to calculate the LCM of 151, 715, 598, 651, 437?
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 151, 715, 598, 651, 437.
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}.