Find the LCM of 437, 120, 695, 784, 765 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 437, 120, 695, 784, 765. So, keep reading to learn more.
Given numbers are 437,120,695,784,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,120,695,784,765 is 36431221680.
Find LCM of 437,120,695,784,765 with Prime Factorization
2 | 437, 120, 695, 784, 765 |
2 | 437, 60, 695, 392, 765 |
2 | 437, 30, 695, 196, 765 |
3 | 437, 15, 695, 98, 765 |
5 | 437, 5, 695, 98, 255 |
437, 1, 139, 98, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 437 x 1 x 139 x 98 x 51 = 36431221680
Therefore, the lowest common multiple of 437,120,695,784,765 is 36431221680.
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.
437 x 120 x 695 x 784 x 765 = 21858733008000
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.
437 : 1, 19, 23, 437
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
695 : 1, 5, 139, 695
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,120,695,784,765, is 1.
Now, the common factors can be found like this.
437:19x 23
120:2x 2x 2x 3x 5
695:5x 139
784:2x 2x 2x 2x 7x 7
765:3x 3x 5x 17
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 5 = 600
Therefore, the value for common factors is 600.
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 = 21858733008000/(1x600)
LCM = 21858733008000/600
LCM = 36431221680
Thus, we can understand that the LCM of 437,120,695,784,765 is 36431221680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 120, 695, 784, 765?
Answer: LCM of 437, 120, 695, 784, 765 is 36431221680.
2. How to calculate the LCM of 437, 120, 695, 784, 765?
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 437, 120, 695, 784, 765.
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}.