Find the LCM of 779, 432, 402, 886, 198 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 779, 432, 402, 886, 198. So, keep reading to learn more.
Given numbers are 779,432,402,886,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,432,402,886,198 is 109873363248.
Find LCM of 779,432,402,886,198 with Prime Factorization
2 | 779, 432, 402, 886, 198 |
3 | 779, 216, 201, 443, 99 |
3 | 779, 72, 67, 443, 33 |
779, 24, 67, 443, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 779 x 24 x 67 x 443 x 11 = 109873363248
Therefore, the lowest common multiple of 779,432,402,886,198 is 109873363248.
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.
779 x 432 x 402 x 886 x 198 = 23732646461568
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.
779 : 1, 19, 41, 779
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
402 : 1, 2, 3, 6, 67, 134, 201, 402
886 : 1, 2, 443, 886
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,432,402,886,198, is 1.
Now, the common factors can be found like this.
779:19x 41
432:2x 2x 2x 2x 3x 3x 3
402:2x 3x 67
886:2x 443
198:2x 3x 3x 11
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 23732646461568/(1x216)
LCM = 23732646461568/216
LCM = 109873363248
Thus, we can understand that the LCM of 779,432,402,886,198 is 109873363248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 432, 402, 886, 198?
Answer: LCM of 779, 432, 402, 886, 198 is 109873363248.
2. How to calculate the LCM of 779, 432, 402, 886, 198?
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 779, 432, 402, 886, 198.
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}.