Find the LCM of 572, 460, 667, 90 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, 460, 667, 90. So, keep reading to learn more.
Given numbers are 572,460,667,90
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,460,667,90 is 17168580.
Find LCM of 572,460,667,90 with Prime Factorization
2 | 572, 460, 667, 90 |
2 | 286, 230, 667, 45 |
5 | 143, 115, 667, 45 |
23 | 143, 23, 667, 9 |
143, 1, 29, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 143 x 1 x 29 x 9 = 17168580
Therefore, the lowest common multiple of 572,460,667,90 is 17168580.
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 460 x 667 x 90 = 15795093600
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
667 : 1, 23, 29, 667
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,460,667,90, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
460:2x 2x 5x 23
667:23x 29
90:2x 3x 3x 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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 15795093600/(1x920)
LCM = 15795093600/920
LCM = 17168580
Thus, we can understand that the LCM of 572,460,667,90 is 17168580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 460, 667, 90?
Answer: LCM of 572, 460, 667, 90 is 17168580.
2. How to calculate the LCM of 572, 460, 667, 90?
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, 460, 667, 90.
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}.