Find the LCM of 785, 144, 560, 765 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 785, 144, 560, 765. So, keep reading to learn more.
Given numbers are 785,144,560,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,144,560,765 is 13451760.
Find LCM of 785,144,560,765 with Prime Factorization
2 | 785, 144, 560, 765 |
2 | 785, 72, 280, 765 |
2 | 785, 36, 140, 765 |
2 | 785, 18, 70, 765 |
3 | 785, 9, 35, 765 |
3 | 785, 3, 35, 255 |
5 | 785, 1, 35, 85 |
157, 1, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 157 x 1 x 7 x 17 = 13451760
Therefore, the lowest common multiple of 785,144,560,765 is 13451760.
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.
785 x 144 x 560 x 765 = 48426336000
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.
785 : 1, 5, 157, 785
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,144,560,765, is 1.
Now, the common factors can be found like this.
785:5x 157
144:2x 2x 2x 2x 3x 3
560:2x 2x 2x 2x 5x 7
765:3x 3x 5x 17
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 2x 2x 3x 3x 5x 5 = 3600
Therefore, the value for common factors is 3600.
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 = 48426336000/(1x3600)
LCM = 48426336000/3600
LCM = 13451760
Thus, we can understand that the LCM of 785,144,560,765 is 13451760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 144, 560, 765?
Answer: LCM of 785, 144, 560, 765 is 13451760.
2. How to calculate the LCM of 785, 144, 560, 765?
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 785, 144, 560, 765.
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}.