Find the LCM of 439, 878, 402, 658, 697 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 439, 878, 402, 658, 697. So, keep reading to learn more.
Given numbers are 439,878,402,658,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,878,402,658,697 is 40468699614.
Find LCM of 439,878,402,658,697 with Prime Factorization
2 | 439, 878, 402, 658, 697 |
439 | 439, 439, 201, 329, 697 |
1, 1, 201, 329, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 1 x 1 x 201 x 329 x 697 = 40468699614
Therefore, the lowest common multiple of 439,878,402,658,697 is 40468699614.
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.
439 x 878 x 402 x 658 x 697 = 71063036522184
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.
439 : 1, 439
878 : 1, 2, 439, 878
402 : 1, 2, 3, 6, 67, 134, 201, 402
658 : 1, 2, 7, 14, 47, 94, 329, 658
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,878,402,658,697, is 1.
Now, the common factors can be found like this.
439:439
878:2x 439
402:2x 3x 67
658:2x 7x 47
697:17x 41
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 439 = 1756
Therefore, the value for common factors is 1756.
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 = 71063036522184/(1x1756)
LCM = 71063036522184/1756
LCM = 40468699614
Thus, we can understand that the LCM of 439,878,402,658,697 is 40468699614.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 878, 402, 658, 697?
Answer: LCM of 439, 878, 402, 658, 697 is 40468699614.
2. How to calculate the LCM of 439, 878, 402, 658, 697?
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 439, 878, 402, 658, 697.
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}.