LCM of 204, 346, 799, 752, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 346, 799, 752, 298 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 204, 346, 799, 752, 298. So, keep reading to learn more.
Given numbers are 204,346,799,752,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,346,799,752,298 is 988599504.
Find LCM of 204,346,799,752,298 with Prime Factorization
| 2 | 204, 346, 799, 752, 298 |
| 2 | 102, 173, 799, 376, 149 |
| 17 | 51, 173, 799, 188, 149 |
| 47 | 3, 173, 47, 188, 149 |
| 3, 173, 1, 4, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 47 x 3 x 173 x 1 x 4 x 149 = 988599504
Therefore, the lowest common multiple of 204,346,799,752,298 is 988599504.
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.
204 x 346 x 799 x 752 x 298 = 12638256059136
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
346 : 1, 2, 173, 346
799 : 1, 17, 47, 799
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,346,799,752,298, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
346:2x 173
799:17x 47
752:2x 2x 2x 2x 47
298:2x 149
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 17x 47 = 12784
Therefore, the value for common factors is 12784.
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 = 12638256059136/(1x12784)
LCM = 12638256059136/12784
LCM = 988599504
Thus, we can understand that the LCM of 204,346,799,752,298 is 988599504.
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FAQs on LCM of 204, 346, 799, 752, 298
1. What is the LCM of 204, 346, 799, 752, 298?
Answer: LCM of 204, 346, 799, 752, 298 is 988599504.
2. How to calculate the LCM of 204, 346, 799, 752, 298?
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 204, 346, 799, 752, 298.
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}.