Find the LCM of 556, 985, 429, 312, 581 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 556, 985, 429, 312, 581. So, keep reading to learn more.
Given numbers are 556,985,429,312,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,985,429,312,581 is 273007414680.
Find LCM of 556,985,429,312,581 with Prime Factorization
2 | 556, 985, 429, 312, 581 |
2 | 278, 985, 429, 156, 581 |
3 | 139, 985, 429, 78, 581 |
13 | 139, 985, 143, 26, 581 |
139, 985, 11, 2, 581 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 139 x 985 x 11 x 2 x 581 = 273007414680
Therefore, the lowest common multiple of 556,985,429,312,581 is 273007414680.
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.
556 x 985 x 429 x 312 x 581 = 42589156690080
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.
556 : 1, 2, 4, 139, 278, 556
985 : 1, 5, 197, 985
429 : 1, 3, 11, 13, 33, 39, 143, 429
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,985,429,312,581, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
985:5x 197
429:3x 11x 13
312:2x 2x 2x 3x 13
581:7x 83
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 13 = 156
Therefore, the value for common factors is 156.
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 = 42589156690080/(1x156)
LCM = 42589156690080/156
LCM = 273007414680
Thus, we can understand that the LCM of 556,985,429,312,581 is 273007414680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 556, 985, 429, 312, 581?
Answer: LCM of 556, 985, 429, 312, 581 is 273007414680.
2. How to calculate the LCM of 556, 985, 429, 312, 581?
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 556, 985, 429, 312, 581.
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}.