Find the LCM of 765, 800, 240, 827, 118 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 765, 800, 240, 827, 118. So, keep reading to learn more.
Given numbers are 765,800,240,827,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,800,240,827,118 is 5972263200.
Find LCM of 765,800,240,827,118 with Prime Factorization
2 | 765, 800, 240, 827, 118 |
2 | 765, 400, 120, 827, 59 |
2 | 765, 200, 60, 827, 59 |
2 | 765, 100, 30, 827, 59 |
3 | 765, 50, 15, 827, 59 |
5 | 255, 50, 5, 827, 59 |
51, 10, 1, 827, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 51 x 10 x 1 x 827 x 59 = 5972263200
Therefore, the lowest common multiple of 765,800,240,827,118 is 5972263200.
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.
765 x 800 x 240 x 827 x 118 = 14333431680000
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
827 : 1, 827
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,800,240,827,118, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
800:2x 2x 2x 2x 2x 5x 5
240:2x 2x 2x 2x 3x 5
827:827
118:2x 59
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 2x 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 14333431680000/(1x2400)
LCM = 14333431680000/2400
LCM = 5972263200
Thus, we can understand that the LCM of 765,800,240,827,118 is 5972263200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 800, 240, 827, 118?
Answer: LCM of 765, 800, 240, 827, 118 is 5972263200.
2. How to calculate the LCM of 765, 800, 240, 827, 118?
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 765, 800, 240, 827, 118.
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}.