LCM of 537, 700, 515, 326, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 700, 515, 326, 824 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, 700, 515, 326, 824. So, keep reading to learn more.
Given numbers are 537,700,515,326,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,700,515,326,824 is 12621970200.
Find LCM of 537,700,515,326,824 with Prime Factorization
| 2 | 537, 700, 515, 326, 824 |
| 2 | 537, 350, 515, 163, 412 |
| 5 | 537, 175, 515, 163, 206 |
| 103 | 537, 35, 103, 163, 206 |
| 537, 35, 1, 163, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 103 x 537 x 35 x 1 x 163 x 2 = 12621970200
Therefore, the lowest common multiple of 537,700,515,326,824 is 12621970200.
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 700 x 515 x 326 x 824 = 52002517224000
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
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
515 : 1, 5, 103, 515
326 : 1, 2, 163, 326
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,700,515,326,824, is 1.
Now, the common factors can be found like this.
537:3x 179
700:2x 2x 5x 5x 7
515:5x 103
326:2x 163
824:2x 2x 2x 103
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 5x 103 = 4120
Therefore, the value for common factors is 4120.
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 = 52002517224000/(1x4120)
LCM = 52002517224000/4120
LCM = 12621970200
Thus, we can understand that the LCM of 537,700,515,326,824 is 12621970200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 537, 700, 515, 326, 824
1. What is the LCM of 537, 700, 515, 326, 824?
Answer: LCM of 537, 700, 515, 326, 824 is 12621970200.
2. How to calculate the LCM of 537, 700, 515, 326, 824?
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, 700, 515, 326, 824.
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}.