LCM of 524, 115, 575, 924, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 115, 575, 924, 131 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 524, 115, 575, 924, 131. So, keep reading to learn more.
Given numbers are 524,115,575,924,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,115,575,924,131 is 69600300.
Find LCM of 524,115,575,924,131 with Prime Factorization
| 2 | 524, 115, 575, 924, 131 |
| 2 | 262, 115, 575, 462, 131 |
| 5 | 131, 115, 575, 231, 131 |
| 23 | 131, 23, 115, 231, 131 |
| 131 | 131, 1, 5, 231, 131 |
| 1, 1, 5, 231, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 131 x 1 x 1 x 5 x 231 x 1 = 69600300
Therefore, the lowest common multiple of 524,115,575,924,131 is 69600300.
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.
524 x 115 x 575 x 924 x 131 = 4194114078000
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.
524 : 1, 2, 4, 131, 262, 524
115 : 1, 5, 23, 115
575 : 1, 5, 23, 25, 115, 575
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,115,575,924,131, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
115:5x 23
575:5x 5x 23
924:2x 2x 3x 7x 11
131:131
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 5x 23x 131 = 60260
Therefore, the value for common factors is 60260.
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 = 4194114078000/(1x60260)
LCM = 4194114078000/60260
LCM = 69600300
Thus, we can understand that the LCM of 524,115,575,924,131 is 69600300.
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FAQs on LCM of 524, 115, 575, 924, 131
1. What is the LCM of 524, 115, 575, 924, 131?
Answer: LCM of 524, 115, 575, 924, 131 is 69600300.
2. How to calculate the LCM of 524, 115, 575, 924, 131?
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 524, 115, 575, 924, 131.
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}.