Find the LCM of 928, 368, 938, 227, 598 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 928, 368, 938, 227, 598. So, keep reading to learn more.
Given numbers are 928,368,938,227,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,368,938,227,598 is 29540501536.
Find LCM of 928,368,938,227,598 with Prime Factorization
2 | 928, 368, 938, 227, 598 |
2 | 464, 184, 469, 227, 299 |
2 | 232, 92, 469, 227, 299 |
2 | 116, 46, 469, 227, 299 |
23 | 58, 23, 469, 227, 299 |
58, 1, 469, 227, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 58 x 1 x 469 x 227 x 13 = 29540501536
Therefore, the lowest common multiple of 928,368,938,227,598 is 29540501536.
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.
928 x 368 x 938 x 227 x 598 = 43483618260992
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
938 : 1, 2, 7, 14, 67, 134, 469, 938
227 : 1, 227
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,368,938,227,598, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
368:2x 2x 2x 2x 23
938:2x 7x 67
227:227
598:2x 13x 23
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 23 = 1472
Therefore, the value for common factors is 1472.
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 = 43483618260992/(1x1472)
LCM = 43483618260992/1472
LCM = 29540501536
Thus, we can understand that the LCM of 928,368,938,227,598 is 29540501536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 368, 938, 227, 598?
Answer: LCM of 928, 368, 938, 227, 598 is 29540501536.
2. How to calculate the LCM of 928, 368, 938, 227, 598?
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 928, 368, 938, 227, 598.
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}.