LCM of 561, 643, 323, 442, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 643, 323, 442, 988 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 561, 643, 323, 442, 988. So, keep reading to learn more.
Given numbers are 561,643,323,442,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,643,323,442,988 is 356394324.
Find LCM of 561,643,323,442,988 with Prime Factorization
| 2 | 561, 643, 323, 442, 988 |
| 13 | 561, 643, 323, 221, 494 |
| 17 | 561, 643, 323, 17, 38 |
| 19 | 33, 643, 19, 1, 38 |
| 33, 643, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 19 x 33 x 643 x 1 x 1 x 2 = 356394324
Therefore, the lowest common multiple of 561,643,323,442,988 is 356394324.
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.
561 x 643 x 323 x 442 x 988 = 50880992060184
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
643 : 1, 643
323 : 1, 17, 19, 323
442 : 1, 2, 13, 17, 26, 34, 221, 442
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,643,323,442,988, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
643:643
323:17x 19
442:2x 13x 17
988:2x 2x 13x 19
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 17x 17x 19 = 142766
Therefore, the value for common factors is 142766.
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 = 50880992060184/(1x142766)
LCM = 50880992060184/142766
LCM = 356394324
Thus, we can understand that the LCM of 561,643,323,442,988 is 356394324.
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FAQs on LCM of 561, 643, 323, 442, 988
1. What is the LCM of 561, 643, 323, 442, 988?
Answer: LCM of 561, 643, 323, 442, 988 is 356394324.
2. How to calculate the LCM of 561, 643, 323, 442, 988?
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 561, 643, 323, 442, 988.
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}.