LCM of 878, 766, 780, 429, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 766, 780, 429, 441 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 878, 766, 780, 429, 441. So, keep reading to learn more.
Given numbers are 878,766,780,429,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,766,780,429,441 is 212064472620.
Find LCM of 878,766,780,429,441 with Prime Factorization
| 2 | 878, 766, 780, 429, 441 |
| 3 | 439, 383, 390, 429, 441 |
| 13 | 439, 383, 130, 143, 147 |
| 439, 383, 10, 11, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 439 x 383 x 10 x 11 x 147 = 212064472620
Therefore, the lowest common multiple of 878,766,780,429,441 is 212064472620.
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.
878 x 766 x 780 x 429 x 441 = 99246173186160
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.
878 : 1, 2, 439, 878
766 : 1, 2, 383, 766
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,766,780,429,441, is 1.
Now, the common factors can be found like this.
878:2x 439
766:2x 383
780:2x 2x 3x 5x 13
429:3x 11x 13
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 99246173186160/(1x468)
LCM = 99246173186160/468
LCM = 212064472620
Thus, we can understand that the LCM of 878,766,780,429,441 is 212064472620.
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FAQs on LCM of 878, 766, 780, 429, 441
1. What is the LCM of 878, 766, 780, 429, 441?
Answer: LCM of 878, 766, 780, 429, 441 is 212064472620.
2. How to calculate the LCM of 878, 766, 780, 429, 441?
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 878, 766, 780, 429, 441.
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}.