Find the LCM of 572, 819, 313, 735, 423 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, 819, 313, 735, 423. So, keep reading to learn more.
Given numbers are 572,819,313,735,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,819,313,735,423 is 18554395860.
Find LCM of 572,819,313,735,423 with Prime Factorization
3 | 572, 819, 313, 735, 423 |
3 | 572, 273, 313, 245, 141 |
7 | 572, 91, 313, 245, 47 |
13 | 572, 13, 313, 35, 47 |
44, 1, 313, 35, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 44 x 1 x 313 x 35 x 47 = 18554395860
Therefore, the lowest common multiple of 572,819,313,735,423 is 18554395860.
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 819 x 313 x 735 x 423 = 45588150628020
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
313 : 1, 313
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,819,313,735,423, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
819:3x 3x 7x 13
313:313
735:3x 5x 7x 7
423:3x 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.
3x 3x 3x 7x 13 = 2457
Therefore, the value for common factors is 2457.
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 = 45588150628020/(1x2457)
LCM = 45588150628020/2457
LCM = 18554395860
Thus, we can understand that the LCM of 572,819,313,735,423 is 18554395860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 819, 313, 735, 423?
Answer: LCM of 572, 819, 313, 735, 423 is 18554395860.
2. How to calculate the LCM of 572, 819, 313, 735, 423?
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, 819, 313, 735, 423.
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}.