Find the LCM of 339, 562, 611, 896, 820 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 339, 562, 611, 896, 820. So, keep reading to learn more.
Given numbers are 339,562,611,896,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,562,611,896,820 is 10690772776320.
Find LCM of 339,562,611,896,820 with Prime Factorization
2 | 339, 562, 611, 896, 820 |
2 | 339, 281, 611, 448, 410 |
339, 281, 611, 224, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 339 x 281 x 611 x 224 x 205 = 10690772776320
Therefore, the lowest common multiple of 339,562,611,896,820 is 10690772776320.
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.
339 x 562 x 611 x 896 x 820 = 85526182210560
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.
339 : 1, 3, 113, 339
562 : 1, 2, 281, 562
611 : 1, 13, 47, 611
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,562,611,896,820, is 1.
Now, the common factors can be found like this.
339:3x 113
562:2x 281
611:13x 47
896:2x 2x 2x 2x 2x 2x 2x 7
820:2x 2x 5x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 85526182210560/(1x8)
LCM = 85526182210560/8
LCM = 10690772776320
Thus, we can understand that the LCM of 339,562,611,896,820 is 10690772776320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 562, 611, 896, 820?
Answer: LCM of 339, 562, 611, 896, 820 is 10690772776320.
2. How to calculate the LCM of 339, 562, 611, 896, 820?
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 339, 562, 611, 896, 820.
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}.