Find the LCM of 805, 747, 378, 364, 677 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 805, 747, 378, 364, 677. So, keep reading to learn more.
Given numbers are 805,747,378,364,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,747,378,364,677 is 63508192020.
Find LCM of 805,747,378,364,677 with Prime Factorization
2 | 805, 747, 378, 364, 677 |
3 | 805, 747, 189, 182, 677 |
3 | 805, 249, 63, 182, 677 |
7 | 805, 83, 21, 182, 677 |
115, 83, 3, 26, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 115 x 83 x 3 x 26 x 677 = 63508192020
Therefore, the lowest common multiple of 805,747,378,364,677 is 63508192020.
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.
805 x 747 x 378 x 364 x 677 = 56014225361640
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
747 : 1, 3, 9, 83, 249, 747
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,747,378,364,677, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
747:3x 3x 83
378:2x 3x 3x 3x 7
364:2x 2x 7x 13
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 56014225361640/(1x882)
LCM = 56014225361640/882
LCM = 63508192020
Thus, we can understand that the LCM of 805,747,378,364,677 is 63508192020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 747, 378, 364, 677?
Answer: LCM of 805, 747, 378, 364, 677 is 63508192020.
2. How to calculate the LCM of 805, 747, 378, 364, 677?
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 805, 747, 378, 364, 677.
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}.