Find the LCM of 787, 309, 824, 427 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 787, 309, 824, 427. So, keep reading to learn more.
Given numbers are 787,309,824,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,309,824,427 is 830713128.
Find LCM of 787,309,824,427 with Prime Factorization
103 | 787, 309, 824, 427 |
787, 3, 8, 427 |
Multiply the prime numbers at the bottom and the left side.
103 x 787 x 3 x 8 x 427 = 830713128
Therefore, the lowest common multiple of 787,309,824,427 is 830713128.
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.
787 x 309 x 824 x 427 = 85563452184
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.
787 : 1, 787
309 : 1, 3, 103, 309
824 : 1, 2, 4, 8, 103, 206, 412, 824
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,309,824,427, is 1.
Now, the common factors can be found like this.
787:787
309:3x 103
824:2x 2x 2x 103
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
103 = 103
Therefore, the value for common factors is 103.
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 = 85563452184/(1x103)
LCM = 85563452184/103
LCM = 830713128
Thus, we can understand that the LCM of 787,309,824,427 is 830713128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 309, 824, 427?
Answer: LCM of 787, 309, 824, 427 is 830713128.
2. How to calculate the LCM of 787, 309, 824, 427?
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 787, 309, 824, 427.
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}.