Find the LCM of 705, 759, 220, 806, 713 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, 759, 220, 806, 713. So, keep reading to learn more.
Given numbers are 705,759,220,806,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,759,220,806,713 is 287524380.
Find LCM of 705,759,220,806,713 with Prime Factorization
2 | 705, 759, 220, 806, 713 |
3 | 705, 759, 110, 403, 713 |
5 | 235, 253, 110, 403, 713 |
11 | 47, 253, 22, 403, 713 |
23 | 47, 23, 2, 403, 713 |
31 | 47, 1, 2, 403, 31 |
47, 1, 2, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 23 x 31 x 47 x 1 x 2 x 13 x 1 = 287524380
Therefore, the lowest common multiple of 705,759,220,806,713 is 287524380.
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 759 x 220 x 806 x 713 = 67651611370200
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
806 : 1, 2, 13, 26, 31, 62, 403, 806
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,759,220,806,713, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
759:3x 11x 23
220:2x 2x 5x 11
806:2x 13x 31
713:23x 31
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 5x 11x 23x 31 = 235290
Therefore, the value for common factors is 235290.
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 = 67651611370200/(1x235290)
LCM = 67651611370200/235290
LCM = 287524380
Thus, we can understand that the LCM of 705,759,220,806,713 is 287524380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 759, 220, 806, 713?
Answer: LCM of 705, 759, 220, 806, 713 is 287524380.
2. How to calculate the LCM of 705, 759, 220, 806, 713?
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, 759, 220, 806, 713.
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}.