Find the LCM of 509, 701, 399, 514, 152 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 509, 701, 399, 514, 152. So, keep reading to learn more.
Given numbers are 509,701,399,514,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,701,399,514,152 is 292706122296.
Find LCM of 509,701,399,514,152 with Prime Factorization
2 | 509, 701, 399, 514, 152 |
19 | 509, 701, 399, 257, 76 |
509, 701, 21, 257, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 509 x 701 x 21 x 257 x 4 = 292706122296
Therefore, the lowest common multiple of 509,701,399,514,152 is 292706122296.
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.
509 x 701 x 399 x 514 x 152 = 11122832647248
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.
509 : 1, 509
701 : 1, 701
399 : 1, 3, 7, 19, 21, 57, 133, 399
514 : 1, 2, 257, 514
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,701,399,514,152, is 1.
Now, the common factors can be found like this.
509:509
701:701
399:3x 7x 19
514:2x 257
152:2x 2x 2x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 11122832647248/(1x38)
LCM = 11122832647248/38
LCM = 292706122296
Thus, we can understand that the LCM of 509,701,399,514,152 is 292706122296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 701, 399, 514, 152?
Answer: LCM of 509, 701, 399, 514, 152 is 292706122296.
2. How to calculate the LCM of 509, 701, 399, 514, 152?
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 509, 701, 399, 514, 152.
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}.