LCM of 519, 572, 642, 924, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 572, 642, 924, 375 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 519, 572, 642, 924, 375. So, keep reading to learn more.
Given numbers are 519,572,642,924,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,572,642,924,375 is 27794266500.
Find LCM of 519,572,642,924,375 with Prime Factorization
| 2 | 519, 572, 642, 924, 375 |
| 2 | 519, 286, 321, 462, 375 |
| 3 | 519, 143, 321, 231, 375 |
| 11 | 173, 143, 107, 77, 125 |
| 173, 13, 107, 7, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 173 x 13 x 107 x 7 x 125 = 27794266500
Therefore, the lowest common multiple of 519,572,642,924,375 is 27794266500.
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.
519 x 572 x 642 x 924 x 375 = 66039177204000
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.
519 : 1, 3, 173, 519
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
642 : 1, 2, 3, 6, 107, 214, 321, 642
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,572,642,924,375, is 1.
Now, the common factors can be found like this.
519:3x 173
572:2x 2x 11x 13
642:2x 3x 107
924:2x 2x 3x 7x 11
375:3x 5x 5x 5
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 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 66039177204000/(1x2376)
LCM = 66039177204000/2376
LCM = 27794266500
Thus, we can understand that the LCM of 519,572,642,924,375 is 27794266500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 519, 572, 642, 924, 375
1. What is the LCM of 519, 572, 642, 924, 375?
Answer: LCM of 519, 572, 642, 924, 375 is 27794266500.
2. How to calculate the LCM of 519, 572, 642, 924, 375?
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 519, 572, 642, 924, 375.
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}.