LCM of 299, 335, 312, 745, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 335, 312, 745, 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 299, 335, 312, 745, 298. So, keep reading to learn more.
Given numbers are 299,335,312,745,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,335,312,745,298 is 358190040.
Find LCM of 299,335,312,745,298 with Prime Factorization
| 2 | 299, 335, 312, 745, 298 |
| 5 | 299, 335, 156, 745, 149 |
| 13 | 299, 67, 156, 149, 149 |
| 149 | 23, 67, 12, 149, 149 |
| 23, 67, 12, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 149 x 23 x 67 x 12 x 1 x 1 = 358190040
Therefore, the lowest common multiple of 299,335,312,745,298 is 358190040.
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.
299 x 335 x 312 x 745 x 298 = 6938141074800
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.
299 : 1, 13, 23, 299
335 : 1, 5, 67, 335
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
745 : 1, 5, 149, 745
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,335,312,745,298, is 1.
Now, the common factors can be found like this.
299:13x 23
335:5x 67
312:2x 2x 2x 3x 13
745:5x 149
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 5x 13x 149 = 19370
Therefore, the value for common factors is 19370.
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 = 6938141074800/(1x19370)
LCM = 6938141074800/19370
LCM = 358190040
Thus, we can understand that the LCM of 299,335,312,745,298 is 358190040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 299, 335, 312, 745, 298
1. What is the LCM of 299, 335, 312, 745, 298?
Answer: LCM of 299, 335, 312, 745, 298 is 358190040.
2. How to calculate the LCM of 299, 335, 312, 745, 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 299, 335, 312, 745, 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}.