LCM of 559, 693, 549, 966, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 693, 549, 966, 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 559, 693, 549, 966, 851. So, keep reading to learn more.
Given numbers are 559,693,549,966,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,693,549,966,851 is 40219293114.
Find LCM of 559,693,549,966,851 with Prime Factorization
| 3 | 559, 693, 549, 966, 851 |
| 3 | 559, 231, 183, 322, 851 |
| 7 | 559, 77, 61, 322, 851 |
| 23 | 559, 11, 61, 46, 851 |
| 559, 11, 61, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 23 x 559 x 11 x 61 x 2 x 37 = 40219293114
Therefore, the lowest common multiple of 559,693,549,966,851 is 40219293114.
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.
559 x 693 x 549 x 966 x 851 = 174833267166558
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.
559 : 1, 13, 43, 559
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
549 : 1, 3, 9, 61, 183, 549
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,693,549,966,851, is 1.
Now, the common factors can be found like this.
559:13x 43
693:3x 3x 7x 11
549:3x 3x 61
966:2x 3x 7x 23
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.
3x 3x 3x 7x 23 = 4347
Therefore, the value for common factors is 4347.
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 = 174833267166558/(1x4347)
LCM = 174833267166558/4347
LCM = 40219293114
Thus, we can understand that the LCM of 559,693,549,966,851 is 40219293114.
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FAQs on LCM of 559, 693, 549, 966, 851
1. What is the LCM of 559, 693, 549, 966, 851?
Answer: LCM of 559, 693, 549, 966, 851 is 40219293114.
2. How to calculate the LCM of 559, 693, 549, 966, 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 559, 693, 549, 966, 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}.