Find the LCM of 785, 446, 620, 216 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 785, 446, 620, 216. So, keep reading to learn more.
Given numbers are 785,446,620,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,446,620,216 is 1172168280.
Find LCM of 785,446,620,216 with Prime Factorization
2 | 785, 446, 620, 216 |
2 | 785, 223, 310, 108 |
5 | 785, 223, 155, 54 |
157, 223, 31, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 157 x 223 x 31 x 54 = 1172168280
Therefore, the lowest common multiple of 785,446,620,216 is 1172168280.
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.
785 x 446 x 620 x 216 = 46886731200
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.
785 : 1, 5, 157, 785
446 : 1, 2, 223, 446
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,446,620,216, is 1.
Now, the common factors can be found like this.
785:5x 157
446:2x 223
620:2x 2x 5x 31
216:2x 2x 2x 3x 3x 3
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 5 = 40
Therefore, the value for common factors is 40.
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 = 46886731200/(1x40)
LCM = 46886731200/40
LCM = 1172168280
Thus, we can understand that the LCM of 785,446,620,216 is 1172168280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 446, 620, 216?
Answer: LCM of 785, 446, 620, 216 is 1172168280.
2. How to calculate the LCM of 785, 446, 620, 216?
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 785, 446, 620, 216.
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}.