Find the LCM of 572, 300, 627, 571, 551 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 572, 300, 627, 571, 551. So, keep reading to learn more.
Given numbers are 572,300,627,571,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,300,627,571,551 is 13497240900.
Find LCM of 572,300,627,571,551 with Prime Factorization
2 | 572, 300, 627, 571, 551 |
2 | 286, 150, 627, 571, 551 |
3 | 143, 75, 627, 571, 551 |
11 | 143, 25, 209, 571, 551 |
19 | 13, 25, 19, 571, 551 |
13, 25, 1, 571, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 13 x 25 x 1 x 571 x 29 = 13497240900
Therefore, the lowest common multiple of 572,300,627,571,551 is 13497240900.
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.
572 x 300 x 627 x 571 x 551 = 33851080177200
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
627 : 1, 3, 11, 19, 33, 57, 209, 627
571 : 1, 571
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,300,627,571,551, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
300:2x 2x 3x 5x 5
627:3x 11x 19
571:571
551:19x 29
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 11x 19 = 2508
Therefore, the value for common factors is 2508.
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 = 33851080177200/(1x2508)
LCM = 33851080177200/2508
LCM = 13497240900
Thus, we can understand that the LCM of 572,300,627,571,551 is 13497240900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 300, 627, 571, 551?
Answer: LCM of 572, 300, 627, 571, 551 is 13497240900.
2. How to calculate the LCM of 572, 300, 627, 571, 551?
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 572, 300, 627, 571, 551.
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}.