Find the LCM of 537, 716, 528, 540, 104 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 537, 716, 528, 540, 104. So, keep reading to learn more.
Given numbers are 537,716,528,540,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,716,528,540,104 is 55289520.
Find LCM of 537,716,528,540,104 with Prime Factorization
2 | 537, 716, 528, 540, 104 |
2 | 537, 358, 264, 270, 52 |
2 | 537, 179, 132, 135, 26 |
3 | 537, 179, 66, 135, 13 |
179 | 179, 179, 22, 45, 13 |
1, 1, 22, 45, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 179 x 1 x 1 x 22 x 45 x 13 = 55289520
Therefore, the lowest common multiple of 537,716,528,540,104 is 55289520.
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.
537 x 716 x 528 x 540 x 104 = 11401141340160
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.
537 : 1, 3, 179, 537
716 : 1, 2, 4, 179, 358, 716
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,716,528,540,104, is 1.
Now, the common factors can be found like this.
537:3x 179
716:2x 2x 179
528:2x 2x 2x 2x 3x 11
540:2x 2x 3x 3x 3x 5
104:2x 2x 2x 13
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 2x 2x 2x 3x 3x 179 = 206208
Therefore, the value for common factors is 206208.
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 = 11401141340160/(1x206208)
LCM = 11401141340160/206208
LCM = 55289520
Thus, we can understand that the LCM of 537,716,528,540,104 is 55289520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 537, 716, 528, 540, 104?
Answer: LCM of 537, 716, 528, 540, 104 is 55289520.
2. How to calculate the LCM of 537, 716, 528, 540, 104?
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 537, 716, 528, 540, 104.
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}.