Find the LCM of 440, 703, 616, 826, 547 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 440, 703, 616, 826, 547. So, keep reading to learn more.
Given numbers are 440,703,616,826,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,703,616,826,547 is 69878790520.
Find LCM of 440,703,616,826,547 with Prime Factorization
2 | 440, 703, 616, 826, 547 |
2 | 220, 703, 308, 413, 547 |
2 | 110, 703, 154, 413, 547 |
7 | 55, 703, 77, 413, 547 |
11 | 55, 703, 11, 59, 547 |
5, 703, 1, 59, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 5 x 703 x 1 x 59 x 547 = 69878790520
Therefore, the lowest common multiple of 440,703,616,826,547 is 69878790520.
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.
440 x 703 x 616 x 826 x 547 = 86090669920640
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
703 : 1, 19, 37, 703
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
826 : 1, 2, 7, 14, 59, 118, 413, 826
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,703,616,826,547, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
703:19x 37
616:2x 2x 2x 7x 11
826:2x 7x 59
547:547
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 2x 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 86090669920640/(1x1232)
LCM = 86090669920640/1232
LCM = 69878790520
Thus, we can understand that the LCM of 440,703,616,826,547 is 69878790520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 440, 703, 616, 826, 547?
Answer: LCM of 440, 703, 616, 826, 547 is 69878790520.
2. How to calculate the LCM of 440, 703, 616, 826, 547?
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 440, 703, 616, 826, 547.
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}.