Find the LCM of 498, 912, 116, 779, 928 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 498, 912, 116, 779, 928. So, keep reading to learn more.
Given numbers are 498,912,116,779,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,912,116,779,928 is 180005088.
Find LCM of 498,912,116,779,928 with Prime Factorization
2 | 498, 912, 116, 779, 928 |
2 | 249, 456, 58, 779, 464 |
2 | 249, 228, 29, 779, 232 |
2 | 249, 114, 29, 779, 116 |
3 | 249, 57, 29, 779, 58 |
19 | 83, 19, 29, 779, 58 |
29 | 83, 1, 29, 41, 58 |
83, 1, 1, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 29 x 83 x 1 x 1 x 41 x 2 = 180005088
Therefore, the lowest common multiple of 498,912,116,779,928 is 180005088.
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.
498 x 912 x 116 x 779 x 928 = 38086196539392
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
116 : 1, 2, 4, 29, 58, 116
779 : 1, 19, 41, 779
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,912,116,779,928, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
912:2x 2x 2x 2x 3x 19
116:2x 2x 29
779:19x 41
928:2x 2x 2x 2x 2x 29
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 2x 2x 3x 19x 29 = 211584
Therefore, the value for common factors is 211584.
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 = 38086196539392/(1x211584)
LCM = 38086196539392/211584
LCM = 180005088
Thus, we can understand that the LCM of 498,912,116,779,928 is 180005088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 498, 912, 116, 779, 928?
Answer: LCM of 498, 912, 116, 779, 928 is 180005088.
2. How to calculate the LCM of 498, 912, 116, 779, 928?
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 498, 912, 116, 779, 928.
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}.