Find the LCM of 511, 724, 438, 730, 141 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 511, 724, 438, 730, 141. So, keep reading to learn more.
Given numbers are 511,724,438,730,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,724,438,730,141 is 260824620.
Find LCM of 511,724,438,730,141 with Prime Factorization
2 | 511, 724, 438, 730, 141 |
3 | 511, 362, 219, 365, 141 |
73 | 511, 362, 73, 365, 47 |
7, 362, 1, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 7 x 362 x 1 x 5 x 47 = 260824620
Therefore, the lowest common multiple of 511,724,438,730,141 is 260824620.
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.
511 x 724 x 438 x 730 x 141 = 16679212799760
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.
511 : 1, 7, 73, 511
724 : 1, 2, 4, 181, 362, 724
438 : 1, 2, 3, 6, 73, 146, 219, 438
730 : 1, 2, 5, 10, 73, 146, 365, 730
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,724,438,730,141, is 1.
Now, the common factors can be found like this.
511:7x 73
724:2x 2x 181
438:2x 3x 73
730:2x 5x 73
141:3x 47
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 3x 73x 73 = 63948
Therefore, the value for common factors is 63948.
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 = 16679212799760/(1x63948)
LCM = 16679212799760/63948
LCM = 260824620
Thus, we can understand that the LCM of 511,724,438,730,141 is 260824620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 511, 724, 438, 730, 141?
Answer: LCM of 511, 724, 438, 730, 141 is 260824620.
2. How to calculate the LCM of 511, 724, 438, 730, 141?
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 511, 724, 438, 730, 141.
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}.