LCM of 995, 598, 384, 199, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 598, 384, 199, 552 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 995, 598, 384, 199, 552. So, keep reading to learn more.
Given numbers are 995,598,384,199,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,598,384,199,552 is 114241920.
Find LCM of 995,598,384,199,552 with Prime Factorization
| 2 | 995, 598, 384, 199, 552 |
| 2 | 995, 299, 192, 199, 276 |
| 2 | 995, 299, 96, 199, 138 |
| 3 | 995, 299, 48, 199, 69 |
| 23 | 995, 299, 16, 199, 23 |
| 199 | 995, 13, 16, 199, 1 |
| 5, 13, 16, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 199 x 5 x 13 x 16 x 1 x 1 = 114241920
Therefore, the lowest common multiple of 995,598,384,199,552 is 114241920.
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.
995 x 598 x 384 x 199 x 552 = 25098492856320
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.
995 : 1, 5, 199, 995
598 : 1, 2, 13, 23, 26, 46, 299, 598
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
199 : 1, 199
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,598,384,199,552, is 1.
Now, the common factors can be found like this.
995:5x 199
598:2x 13x 23
384:2x 2x 2x 2x 2x 2x 2x 3
199:199
552:2x 2x 2x 3x 23
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 3x 23x 199 = 219696
Therefore, the value for common factors is 219696.
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 = 25098492856320/(1x219696)
LCM = 25098492856320/219696
LCM = 114241920
Thus, we can understand that the LCM of 995,598,384,199,552 is 114241920.
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FAQs on LCM of 995, 598, 384, 199, 552
1. What is the LCM of 995, 598, 384, 199, 552?
Answer: LCM of 995, 598, 384, 199, 552 is 114241920.
2. How to calculate the LCM of 995, 598, 384, 199, 552?
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 995, 598, 384, 199, 552.
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}.