LCM of 305, 506, 398, 715, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 506, 398, 715, 199 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 305, 506, 398, 715, 199. So, keep reading to learn more.
Given numbers are 305,506,398,715,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,506,398,715,199 is 399251710.
Find LCM of 305,506,398,715,199 with Prime Factorization
| 2 | 305, 506, 398, 715, 199 |
| 5 | 305, 253, 199, 715, 199 |
| 11 | 61, 253, 199, 143, 199 |
| 199 | 61, 23, 199, 13, 199 |
| 61, 23, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 199 x 61 x 23 x 1 x 13 x 1 = 399251710
Therefore, the lowest common multiple of 305,506,398,715,199 is 399251710.
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.
305 x 506 x 398 x 715 x 199 = 8739619931900
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.
305 : 1, 5, 61, 305
506 : 1, 2, 11, 22, 23, 46, 253, 506
398 : 1, 2, 199, 398
715 : 1, 5, 11, 13, 55, 65, 143, 715
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,506,398,715,199, is 1.
Now, the common factors can be found like this.
305:5x 61
506:2x 11x 23
398:2x 199
715:5x 11x 13
199:199
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 11x 199 = 21890
Therefore, the value for common factors is 21890.
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 = 8739619931900/(1x21890)
LCM = 8739619931900/21890
LCM = 399251710
Thus, we can understand that the LCM of 305,506,398,715,199 is 399251710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 506, 398, 715, 199
1. What is the LCM of 305, 506, 398, 715, 199?
Answer: LCM of 305, 506, 398, 715, 199 is 399251710.
2. How to calculate the LCM of 305, 506, 398, 715, 199?
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 305, 506, 398, 715, 199.
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}.