LCM of 298, 416, 867, 428, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 416, 867, 428, 299 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 298, 416, 867, 428, 299. So, keep reading to learn more.
Given numbers are 298,416,867,428,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,416,867,428,299 is 132254455008.
Find LCM of 298,416,867,428,299 with Prime Factorization
| 2 | 298, 416, 867, 428, 299 |
| 2 | 149, 208, 867, 214, 299 |
| 13 | 149, 104, 867, 107, 299 |
| 149, 8, 867, 107, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 149 x 8 x 867 x 107 x 23 = 132254455008
Therefore, the lowest common multiple of 298,416,867,428,299 is 132254455008.
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.
298 x 416 x 867 x 428 x 299 = 13754463320832
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.
298 : 1, 2, 149, 298
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
867 : 1, 3, 17, 51, 289, 867
428 : 1, 2, 4, 107, 214, 428
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,416,867,428,299, is 1.
Now, the common factors can be found like this.
298:2x 149
416:2x 2x 2x 2x 2x 13
867:3x 17x 17
428:2x 2x 107
299:13x 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 13 = 104
Therefore, the value for common factors is 104.
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 = 13754463320832/(1x104)
LCM = 13754463320832/104
LCM = 132254455008
Thus, we can understand that the LCM of 298,416,867,428,299 is 132254455008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 416, 867, 428, 299
1. What is the LCM of 298, 416, 867, 428, 299?
Answer: LCM of 298, 416, 867, 428, 299 is 132254455008.
2. How to calculate the LCM of 298, 416, 867, 428, 299?
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 298, 416, 867, 428, 299.
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}.