Find the LCM of 220, 781, 878, 757, 852 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 220, 781, 878, 757, 852. So, keep reading to learn more.
Given numbers are 220,781,878,757,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,781,878,757,852 is 15572655780.
Find LCM of 220,781,878,757,852 with Prime Factorization
2 | 220, 781, 878, 757, 852 |
2 | 110, 781, 439, 757, 426 |
11 | 55, 781, 439, 757, 213 |
71 | 5, 71, 439, 757, 213 |
5, 1, 439, 757, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 71 x 5 x 1 x 439 x 757 x 3 = 15572655780
Therefore, the lowest common multiple of 220,781,878,757,852 is 15572655780.
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.
220 x 781 x 878 x 757 x 852 = 97297953313440
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
781 : 1, 11, 71, 781
878 : 1, 2, 439, 878
757 : 1, 757
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,781,878,757,852, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
781:11x 71
878:2x 439
757:757
852:2x 2x 3x 71
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 11x 71 = 6248
Therefore, the value for common factors is 6248.
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 = 97297953313440/(1x6248)
LCM = 97297953313440/6248
LCM = 15572655780
Thus, we can understand that the LCM of 220,781,878,757,852 is 15572655780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 781, 878, 757, 852?
Answer: LCM of 220, 781, 878, 757, 852 is 15572655780.
2. How to calculate the LCM of 220, 781, 878, 757, 852?
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 220, 781, 878, 757, 852.
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}.