LCM of 611, 421, 298, 338, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 421, 298, 338, 517 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 611, 421, 298, 338, 517. So, keep reading to learn more.
Given numbers are 611,421,298,338,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,421,298,338,517 is 10961641834.
Find LCM of 611,421,298,338,517 with Prime Factorization
| 2 | 611, 421, 298, 338, 517 |
| 13 | 611, 421, 149, 169, 517 |
| 47 | 47, 421, 149, 13, 517 |
| 1, 421, 149, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 47 x 1 x 421 x 149 x 13 x 11 = 10961641834
Therefore, the lowest common multiple of 611,421,298,338,517 is 10961641834.
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.
611 x 421 x 298 x 338 x 517 = 13395126321148
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.
611 : 1, 13, 47, 611
421 : 1, 421
298 : 1, 2, 149, 298
338 : 1, 2, 13, 26, 169, 338
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,421,298,338,517, is 1.
Now, the common factors can be found like this.
611:13x 47
421:421
298:2x 149
338:2x 13x 13
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 47 = 1222
Therefore, the value for common factors is 1222.
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 = 13395126321148/(1x1222)
LCM = 13395126321148/1222
LCM = 10961641834
Thus, we can understand that the LCM of 611,421,298,338,517 is 10961641834.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 611, 421, 298, 338, 517
1. What is the LCM of 611, 421, 298, 338, 517?
Answer: LCM of 611, 421, 298, 338, 517 is 10961641834.
2. How to calculate the LCM of 611, 421, 298, 338, 517?
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 611, 421, 298, 338, 517.
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}.