LCM of 842, 561, 429, 759, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 561, 429, 759, 408 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 842, 561, 429, 759, 408. So, keep reading to learn more.
Given numbers are 842,561,429,759,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,561,429,759,408 is 564944952.
Find LCM of 842,561,429,759,408 with Prime Factorization
| 2 | 842, 561, 429, 759, 408 |
| 3 | 421, 561, 429, 759, 204 |
| 11 | 421, 187, 143, 253, 68 |
| 17 | 421, 17, 13, 23, 68 |
| 421, 1, 13, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 421 x 1 x 13 x 23 x 4 = 564944952
Therefore, the lowest common multiple of 842,561,429,759,408 is 564944952.
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.
842 x 561 x 429 x 759 x 408 = 62752955378256
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.
842 : 1, 2, 421, 842
561 : 1, 3, 11, 17, 33, 51, 187, 561
429 : 1, 3, 11, 13, 33, 39, 143, 429
759 : 1, 3, 11, 23, 33, 69, 253, 759
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,561,429,759,408, is 1.
Now, the common factors can be found like this.
842:2x 421
561:3x 11x 17
429:3x 11x 13
759:3x 11x 23
408:2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 11x 17 = 111078
Therefore, the value for common factors is 111078.
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 = 62752955378256/(1x111078)
LCM = 62752955378256/111078
LCM = 564944952
Thus, we can understand that the LCM of 842,561,429,759,408 is 564944952.
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FAQs on LCM of 842, 561, 429, 759, 408
1. What is the LCM of 842, 561, 429, 759, 408?
Answer: LCM of 842, 561, 429, 759, 408 is 564944952.
2. How to calculate the LCM of 842, 561, 429, 759, 408?
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 842, 561, 429, 759, 408.
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}.