Find the LCM of 628, 540, 133, 732, 537 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 628, 540, 133, 732, 537. So, keep reading to learn more.
Given numbers are 628,540,133,732,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,540,133,732,537 is 123119805060.
Find LCM of 628,540,133,732,537 with Prime Factorization
2 | 628, 540, 133, 732, 537 |
2 | 314, 270, 133, 366, 537 |
3 | 157, 135, 133, 183, 537 |
157, 45, 133, 61, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 45 x 133 x 61 x 179 = 123119805060
Therefore, the lowest common multiple of 628,540,133,732,537 is 123119805060.
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.
628 x 540 x 133 x 732 x 537 = 17729251928640
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.
628 : 1, 2, 4, 157, 314, 628
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
133 : 1, 7, 19, 133
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,540,133,732,537, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
540:2x 2x 3x 3x 3x 5
133:7x 19
732:2x 2x 3x 61
537:3x 179
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 17729251928640/(1x144)
LCM = 17729251928640/144
LCM = 123119805060
Thus, we can understand that the LCM of 628,540,133,732,537 is 123119805060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 628, 540, 133, 732, 537?
Answer: LCM of 628, 540, 133, 732, 537 is 123119805060.
2. How to calculate the LCM of 628, 540, 133, 732, 537?
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 628, 540, 133, 732, 537.
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}.