Find the LCM of 884, 780, 572, 846, 803 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 884, 780, 572, 846, 803. So, keep reading to learn more.
Given numbers are 884,780,572,846,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,780,572,846,803 is 1501336980.
Find LCM of 884,780,572,846,803 with Prime Factorization
2 | 884, 780, 572, 846, 803 |
2 | 442, 390, 286, 423, 803 |
3 | 221, 195, 143, 423, 803 |
11 | 221, 65, 143, 141, 803 |
13 | 221, 65, 13, 141, 73 |
17, 5, 1, 141, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 17 x 5 x 1 x 141 x 73 = 1501336980
Therefore, the lowest common multiple of 884,780,572,846,803 is 1501336980.
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.
884 x 780 x 572 x 846 x 803 = 267934602798720
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,780,572,846,803, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
780:2x 2x 3x 5x 13
572:2x 2x 11x 13
846:2x 3x 3x 47
803:11x 73
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 3x 11x 13x 13 = 178464
Therefore, the value for common factors is 178464.
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 = 267934602798720/(1x178464)
LCM = 267934602798720/178464
LCM = 1501336980
Thus, we can understand that the LCM of 884,780,572,846,803 is 1501336980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 780, 572, 846, 803?
Answer: LCM of 884, 780, 572, 846, 803 is 1501336980.
2. How to calculate the LCM of 884, 780, 572, 846, 803?
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 884, 780, 572, 846, 803.
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}.