Find the LCM of 705, 722, 745, 767, 380 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 705, 722, 745, 767, 380. So, keep reading to learn more.
Given numbers are 705,722,745,767,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,722,745,767,380 is 116342379660.
Find LCM of 705,722,745,767,380 with Prime Factorization
2 | 705, 722, 745, 767, 380 |
5 | 705, 361, 745, 767, 190 |
19 | 141, 361, 149, 767, 38 |
141, 19, 149, 767, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 141 x 19 x 149 x 767 x 2 = 116342379660
Therefore, the lowest common multiple of 705,722,745,767,380 is 116342379660.
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.
705 x 722 x 745 x 767 x 380 = 110525260677000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
722 : 1, 2, 19, 38, 361, 722
745 : 1, 5, 149, 745
767 : 1, 13, 59, 767
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,722,745,767,380, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
722:2x 19x 19
745:5x 149
767:13x 59
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 19 = 950
Therefore, the value for common factors is 950.
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 = 110525260677000/(1x950)
LCM = 110525260677000/950
LCM = 116342379660
Thus, we can understand that the LCM of 705,722,745,767,380 is 116342379660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 722, 745, 767, 380?
Answer: LCM of 705, 722, 745, 767, 380 is 116342379660.
2. How to calculate the LCM of 705, 722, 745, 767, 380?
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 705, 722, 745, 767, 380.
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}.