LCM of 426, 627, 704, 593, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 627, 704, 593, 851 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 426, 627, 704, 593, 851. So, keep reading to learn more.
Given numbers are 426,627,704,593,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,627,704,593,851 is 1437772315584.
Find LCM of 426,627,704,593,851 with Prime Factorization
| 2 | 426, 627, 704, 593, 851 |
| 3 | 213, 627, 352, 593, 851 |
| 11 | 71, 209, 352, 593, 851 |
| 71, 19, 32, 593, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 19 x 32 x 593 x 851 = 1437772315584
Therefore, the lowest common multiple of 426,627,704,593,851 is 1437772315584.
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.
426 x 627 x 704 x 593 x 851 = 94892972828544
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
627 : 1, 3, 11, 19, 33, 57, 209, 627
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
593 : 1, 593
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,627,704,593,851, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
627:3x 11x 19
704:2x 2x 2x 2x 2x 2x 11
593:593
851:23x 37
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 11 = 66
Therefore, the value for common factors is 66.
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 = 94892972828544/(1x66)
LCM = 94892972828544/66
LCM = 1437772315584
Thus, we can understand that the LCM of 426,627,704,593,851 is 1437772315584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 627, 704, 593, 851
1. What is the LCM of 426, 627, 704, 593, 851?
Answer: LCM of 426, 627, 704, 593, 851 is 1437772315584.
2. How to calculate the LCM of 426, 627, 704, 593, 851?
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 426, 627, 704, 593, 851.
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}.