LCM of 525, 498, 374, 814, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 498, 374, 814, 165 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 525, 498, 374, 814, 165. So, keep reading to learn more.
Given numbers are 525,498,374,814,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,498,374,814,165 is 602990850.
Find LCM of 525,498,374,814,165 with Prime Factorization
| 2 | 525, 498, 374, 814, 165 |
| 3 | 525, 249, 187, 407, 165 |
| 5 | 175, 83, 187, 407, 55 |
| 11 | 35, 83, 187, 407, 11 |
| 35, 83, 17, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 35 x 83 x 17 x 37 x 1 = 602990850
Therefore, the lowest common multiple of 525,498,374,814,165 is 602990850.
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.
525 x 498 x 374 x 814 x 165 = 13133140713000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
498 : 1, 2, 3, 6, 83, 166, 249, 498
374 : 1, 2, 11, 17, 22, 34, 187, 374
814 : 1, 2, 11, 22, 37, 74, 407, 814
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,498,374,814,165, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
498:2x 3x 83
374:2x 11x 17
814:2x 11x 37
165:3x 5x 11
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 3x 3x 5x 11x 11 = 21780
Therefore, the value for common factors is 21780.
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 = 13133140713000/(1x21780)
LCM = 13133140713000/21780
LCM = 602990850
Thus, we can understand that the LCM of 525,498,374,814,165 is 602990850.
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FAQs on LCM of 525, 498, 374, 814, 165
1. What is the LCM of 525, 498, 374, 814, 165?
Answer: LCM of 525, 498, 374, 814, 165 is 602990850.
2. How to calculate the LCM of 525, 498, 374, 814, 165?
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 525, 498, 374, 814, 165.
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}.