Find the LCM of 151, 785, 700, 808, 787 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 151, 785, 700, 808, 787. So, keep reading to learn more.
Given numbers are 151,785,700,808,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,785,700,808,787 is 2638157632600.
Find LCM of 151,785,700,808,787 with Prime Factorization
2 | 151, 785, 700, 808, 787 |
2 | 151, 785, 350, 404, 787 |
5 | 151, 785, 175, 202, 787 |
151, 157, 35, 202, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 151 x 157 x 35 x 202 x 787 = 2638157632600
Therefore, the lowest common multiple of 151,785,700,808,787 is 2638157632600.
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.
151 x 785 x 700 x 808 x 787 = 52763152652000
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.
151 : 1, 151
785 : 1, 5, 157, 785
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
808 : 1, 2, 4, 8, 101, 202, 404, 808
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,785,700,808,787, is 1.
Now, the common factors can be found like this.
151:151
785:5x 157
700:2x 2x 5x 5x 7
808:2x 2x 2x 101
787:787
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 5 = 20
Therefore, the value for common factors is 20.
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 = 52763152652000/(1x20)
LCM = 52763152652000/20
LCM = 2638157632600
Thus, we can understand that the LCM of 151,785,700,808,787 is 2638157632600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 785, 700, 808, 787?
Answer: LCM of 151, 785, 700, 808, 787 is 2638157632600.
2. How to calculate the LCM of 151, 785, 700, 808, 787?
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 151, 785, 700, 808, 787.
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}.