Find the LCM of 983, 588, 803, 710, 381 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 983, 588, 803, 710, 381. So, keep reading to learn more.
Given numbers are 983,588,803,710,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,588,803,710,381 is 20925626203020.
Find LCM of 983,588,803,710,381 with Prime Factorization
2 | 983, 588, 803, 710, 381 |
3 | 983, 294, 803, 355, 381 |
983, 98, 803, 355, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 983 x 98 x 803 x 355 x 127 = 20925626203020
Therefore, the lowest common multiple of 983,588,803,710,381 is 20925626203020.
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.
983 x 588 x 803 x 710 x 381 = 125553757218120
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.
983 : 1, 983
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
803 : 1, 11, 73, 803
710 : 1, 2, 5, 10, 71, 142, 355, 710
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,588,803,710,381, is 1.
Now, the common factors can be found like this.
983:983
588:2x 2x 3x 7x 7
803:11x 73
710:2x 5x 71
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 125553757218120/(1x6)
LCM = 125553757218120/6
LCM = 20925626203020
Thus, we can understand that the LCM of 983,588,803,710,381 is 20925626203020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 983, 588, 803, 710, 381?
Answer: LCM of 983, 588, 803, 710, 381 is 20925626203020.
2. How to calculate the LCM of 983, 588, 803, 710, 381?
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 983, 588, 803, 710, 381.
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}.