Find the LCM of 396, 887, 820, 780, 524 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 396, 887, 820, 780, 524. So, keep reading to learn more.
Given numbers are 396,887,820,780,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,887,820,780,524 is 122627341980.
Find LCM of 396,887,820,780,524 with Prime Factorization
2 | 396, 887, 820, 780, 524 |
2 | 198, 887, 410, 390, 262 |
3 | 99, 887, 205, 195, 131 |
5 | 33, 887, 205, 65, 131 |
33, 887, 41, 13, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 33 x 887 x 41 x 13 x 131 = 122627341980
Therefore, the lowest common multiple of 396,887,820,780,524 is 122627341980.
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.
396 x 887 x 820 x 780 x 524 = 117722248300800
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
887 : 1, 887
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,887,820,780,524, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
887:887
820:2x 2x 5x 41
780:2x 2x 3x 5x 13
524:2x 2x 131
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 2x 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 117722248300800/(1x960)
LCM = 117722248300800/960
LCM = 122627341980
Thus, we can understand that the LCM of 396,887,820,780,524 is 122627341980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 887, 820, 780, 524?
Answer: LCM of 396, 887, 820, 780, 524 is 122627341980.
2. How to calculate the LCM of 396, 887, 820, 780, 524?
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 396, 887, 820, 780, 524.
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}.