Find the LCM of 709, 492, 451, 878, 506 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 709, 492, 451, 878, 506. So, keep reading to learn more.
Given numbers are 709,492,451,878,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,492,451,878,506 is 38743279476.
Find LCM of 709,492,451,878,506 with Prime Factorization
2 | 709, 492, 451, 878, 506 |
11 | 709, 246, 451, 439, 253 |
41 | 709, 246, 41, 439, 23 |
709, 6, 1, 439, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 709 x 6 x 1 x 439 x 23 = 38743279476
Therefore, the lowest common multiple of 709,492,451,878,506 is 38743279476.
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.
709 x 492 x 451 x 878 x 506 = 69892876174704
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.
709 : 1, 709
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
451 : 1, 11, 41, 451
878 : 1, 2, 439, 878
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,492,451,878,506, is 1.
Now, the common factors can be found like this.
709:709
492:2x 2x 3x 41
451:11x 41
878:2x 439
506:2x 11x 23
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 11x 41 = 1804
Therefore, the value for common factors is 1804.
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 = 69892876174704/(1x1804)
LCM = 69892876174704/1804
LCM = 38743279476
Thus, we can understand that the LCM of 709,492,451,878,506 is 38743279476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 492, 451, 878, 506?
Answer: LCM of 709, 492, 451, 878, 506 is 38743279476.
2. How to calculate the LCM of 709, 492, 451, 878, 506?
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 709, 492, 451, 878, 506.
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}.