Find the LCM of 787, 253, 121, 484, 710 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, 253, 121, 484, 710. So, keep reading to learn more.
Given numbers are 787,253,121,484,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,253,121,484,710 is 3110113820.
Find LCM of 787,253,121,484,710 with Prime Factorization
2 | 787, 253, 121, 484, 710 |
11 | 787, 253, 121, 242, 355 |
11 | 787, 23, 11, 22, 355 |
787, 23, 1, 2, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 787 x 23 x 1 x 2 x 355 = 3110113820
Therefore, the lowest common multiple of 787,253,121,484,710 is 3110113820.
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 253 x 121 x 484 x 710 = 8279122988840
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
253 : 1, 11, 23, 253
121 : 1, 11, 121
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,253,121,484,710, is 1.
Now, the common factors can be found like this.
787:787
253:11x 23
121:11x 11
484:2x 2x 11x 11
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11 = 2662
Therefore, the value for common factors is 2662.
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 = 8279122988840/(1x2662)
LCM = 8279122988840/2662
LCM = 3110113820
Thus, we can understand that the LCM of 787,253,121,484,710 is 3110113820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 253, 121, 484, 710?
Answer: LCM of 787, 253, 121, 484, 710 is 3110113820.
2. How to calculate the LCM of 787, 253, 121, 484, 710?
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, 253, 121, 484, 710.
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}.