LCM of 499, 565, 358, 192, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 565, 358, 192, 352 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 499, 565, 358, 192, 352. So, keep reading to learn more.
Given numbers are 499,565,358,192,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,565,358,192,352 is 106584962880.
Find LCM of 499,565,358,192,352 with Prime Factorization
| 2 | 499, 565, 358, 192, 352 |
| 2 | 499, 565, 179, 96, 176 |
| 2 | 499, 565, 179, 48, 88 |
| 2 | 499, 565, 179, 24, 44 |
| 2 | 499, 565, 179, 12, 22 |
| 499, 565, 179, 6, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 499 x 565 x 179 x 6 x 11 = 106584962880
Therefore, the lowest common multiple of 499,565,358,192,352 is 106584962880.
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.
499 x 565 x 358 x 192 x 352 = 6821437624320
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.
499 : 1, 499
565 : 1, 5, 113, 565
358 : 1, 2, 179, 358
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,565,358,192,352, is 1.
Now, the common factors can be found like this.
499:499
565:5x 113
358:2x 179
192:2x 2x 2x 2x 2x 2x 3
352:2x 2x 2x 2x 2x 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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 6821437624320/(1x64)
LCM = 6821437624320/64
LCM = 106584962880
Thus, we can understand that the LCM of 499,565,358,192,352 is 106584962880.
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FAQs on LCM of 499, 565, 358, 192, 352
1. What is the LCM of 499, 565, 358, 192, 352?
Answer: LCM of 499, 565, 358, 192, 352 is 106584962880.
2. How to calculate the LCM of 499, 565, 358, 192, 352?
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 499, 565, 358, 192, 352.
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}.