LCM of 341, 403, 506, 442, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 403, 506, 442, 203 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 341, 403, 506, 442, 203. So, keep reading to learn more.
Given numbers are 341,403,506,442,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,403,506,442,203 is 703721018.
Find LCM of 341,403,506,442,203 with Prime Factorization
| 2 | 341, 403, 506, 442, 203 |
| 11 | 341, 403, 253, 221, 203 |
| 13 | 31, 403, 23, 221, 203 |
| 31 | 31, 31, 23, 17, 203 |
| 1, 1, 23, 17, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 31 x 1 x 1 x 23 x 17 x 203 = 703721018
Therefore, the lowest common multiple of 341,403,506,442,203 is 703721018.
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.
341 x 403 x 506 x 442 x 203 = 6239190545588
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.
341 : 1, 11, 31, 341
403 : 1, 13, 31, 403
506 : 1, 2, 11, 22, 23, 46, 253, 506
442 : 1, 2, 13, 17, 26, 34, 221, 442
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,403,506,442,203, is 1.
Now, the common factors can be found like this.
341:11x 31
403:13x 31
506:2x 11x 23
442:2x 13x 17
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 31 = 8866
Therefore, the value for common factors is 8866.
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 = 6239190545588/(1x8866)
LCM = 6239190545588/8866
LCM = 703721018
Thus, we can understand that the LCM of 341,403,506,442,203 is 703721018.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 403, 506, 442, 203
1. What is the LCM of 341, 403, 506, 442, 203?
Answer: LCM of 341, 403, 506, 442, 203 is 703721018.
2. How to calculate the LCM of 341, 403, 506, 442, 203?
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 341, 403, 506, 442, 203.
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}.