LCM of 843, 851, 330, 663, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 851, 330, 663, 780 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 843, 851, 330, 663, 780. So, keep reading to learn more.
Given numbers are 843,851,330,663,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,851,330,663,780 is 34879647660.
Find LCM of 843,851,330,663,780 with Prime Factorization
| 2 | 843, 851, 330, 663, 780 |
| 3 | 843, 851, 165, 663, 390 |
| 5 | 281, 851, 55, 221, 130 |
| 13 | 281, 851, 11, 221, 26 |
| 281, 851, 11, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 281 x 851 x 11 x 17 x 2 = 34879647660
Therefore, the lowest common multiple of 843,851,330,663,780 is 34879647660.
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.
843 x 851 x 330 x 663 x 780 = 122427563286600
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.
843 : 1, 3, 281, 843
851 : 1, 23, 37, 851
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
663 : 1, 3, 13, 17, 39, 51, 221, 663
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,851,330,663,780, is 1.
Now, the common factors can be found like this.
843:3x 281
851:23x 37
330:2x 3x 5x 11
663:3x 13x 17
780:2x 2x 3x 5x 13
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 5x 13 = 3510
Therefore, the value for common factors is 3510.
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 = 122427563286600/(1x3510)
LCM = 122427563286600/3510
LCM = 34879647660
Thus, we can understand that the LCM of 843,851,330,663,780 is 34879647660.
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FAQs on LCM of 843, 851, 330, 663, 780
1. What is the LCM of 843, 851, 330, 663, 780?
Answer: LCM of 843, 851, 330, 663, 780 is 34879647660.
2. How to calculate the LCM of 843, 851, 330, 663, 780?
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 843, 851, 330, 663, 780.
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}.