Find the LCM of 544, 323, 303, 707 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 544, 323, 303, 707. So, keep reading to learn more.
Given numbers are 544,323,303,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,323,303,707 is 21922656.
Find LCM of 544,323,303,707 with Prime Factorization
17 | 544, 323, 303, 707 |
101 | 32, 19, 303, 707 |
32, 19, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
17 x 101 x 32 x 19 x 3 x 7 = 21922656
Therefore, the lowest common multiple of 544,323,303,707 is 21922656.
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.
544 x 323 x 303 x 707 = 37641200352
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
323 : 1, 17, 19, 323
303 : 1, 3, 101, 303
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,323,303,707, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
323:17x 19
303:3x 101
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 101 = 1717
Therefore, the value for common factors is 1717.
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 = 37641200352/(1x1717)
LCM = 37641200352/1717
LCM = 21922656
Thus, we can understand that the LCM of 544,323,303,707 is 21922656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 544, 323, 303, 707?
Answer: LCM of 544, 323, 303, 707 is 21922656.
2. How to calculate the LCM of 544, 323, 303, 707?
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 544, 323, 303, 707.
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}.