Find the LCM of 920, 785, 646, 450, 416 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 920, 785, 646, 450, 416. So, keep reading to learn more.
Given numbers are 920,785,646,450,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,785,646,450,416 is 109170640800.
Find LCM of 920,785,646,450,416 with Prime Factorization
2 | 920, 785, 646, 450, 416 |
2 | 460, 785, 323, 225, 208 |
2 | 230, 785, 323, 225, 104 |
5 | 115, 785, 323, 225, 52 |
23, 157, 323, 45, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 157 x 323 x 45 x 52 = 109170640800
Therefore, the lowest common multiple of 920,785,646,450,416 is 109170640800.
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.
920 x 785 x 646 x 450 x 416 = 87336512640000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
785 : 1, 5, 157, 785
646 : 1, 2, 17, 19, 34, 38, 323, 646
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,785,646,450,416, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
785:5x 157
646:2x 17x 19
450:2x 3x 3x 5x 5
416:2x 2x 2x 2x 2x 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 2x 2x 2x 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 87336512640000/(1x800)
LCM = 87336512640000/800
LCM = 109170640800
Thus, we can understand that the LCM of 920,785,646,450,416 is 109170640800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 785, 646, 450, 416?
Answer: LCM of 920, 785, 646, 450, 416 is 109170640800.
2. How to calculate the LCM of 920, 785, 646, 450, 416?
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 920, 785, 646, 450, 416.
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}.