Find the LCM of 234, 519, 748, 444, 345 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 234, 519, 748, 444, 345. So, keep reading to learn more.
Given numbers are 234,519,748,444,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,519,748,444,345 is 64421840340.
Find LCM of 234,519,748,444,345 with Prime Factorization
2 | 234, 519, 748, 444, 345 |
2 | 117, 519, 374, 222, 345 |
3 | 117, 519, 187, 111, 345 |
39, 173, 187, 37, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 39 x 173 x 187 x 37 x 115 = 64421840340
Therefore, the lowest common multiple of 234,519,748,444,345 is 64421840340.
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.
234 x 519 x 748 x 444 x 345 = 13915117513440
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
519 : 1, 3, 173, 519
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,519,748,444,345, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
519:3x 173
748:2x 2x 11x 17
444:2x 2x 3x 37
345:3x 5x 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 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 = 13915117513440/(1x216)
LCM = 13915117513440/216
LCM = 64421840340
Thus, we can understand that the LCM of 234,519,748,444,345 is 64421840340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 234, 519, 748, 444, 345?
Answer: LCM of 234, 519, 748, 444, 345 is 64421840340.
2. How to calculate the LCM of 234, 519, 748, 444, 345?
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 234, 519, 748, 444, 345.
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}.