Find the LCM of 101, 537, 537, 108 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 101, 537, 537, 108. So, keep reading to learn more.
Given numbers are 101,537,537,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,537,537,108 is 1952532.
Find LCM of 101,537,537,108 with Prime Factorization
3 | 101, 537, 537, 108 |
179 | 101, 179, 179, 36 |
101, 1, 1, 36 |
Multiply the prime numbers at the bottom and the left side.
3 x 179 x 101 x 1 x 1 x 36 = 1952532
Therefore, the lowest common multiple of 101,537,537,108 is 1952532.
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.
101 x 537 x 537 x 108 = 3145529052
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.
101 : 1, 101
537 : 1, 3, 179, 537
537 : 1, 3, 179, 537
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,537,537,108, is 1.
Now, the common factors can be found like this.
101:101
537:3x 179
537:3x 179
108:2x 2x 3x 3x 3
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 179 = 1611
Therefore, the value for common factors is 1611.
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 = 3145529052/(1x1611)
LCM = 3145529052/1611
LCM = 1952532
Thus, we can understand that the LCM of 101,537,537,108 is 1952532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 537, 537, 108?
Answer: LCM of 101, 537, 537, 108 is 1952532.
2. How to calculate the LCM of 101, 537, 537, 108?
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 101, 537, 537, 108.
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}.