Find the LCM of 647, 759, 520, 634, 897 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 647, 759, 520, 634, 897. So, keep reading to learn more.
Given numbers are 647,759,520,634,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,759,520,634,897 is 80948473320.
Find LCM of 647,759,520,634,897 with Prime Factorization
2 | 647, 759, 520, 634, 897 |
3 | 647, 759, 260, 317, 897 |
13 | 647, 253, 260, 317, 299 |
23 | 647, 253, 20, 317, 23 |
647, 11, 20, 317, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 647 x 11 x 20 x 317 x 1 = 80948473320
Therefore, the lowest common multiple of 647,759,520,634,897 is 80948473320.
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.
647 x 759 x 520 x 634 x 897 = 145221561136080
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.
647 : 1, 647
759 : 1, 3, 11, 23, 33, 69, 253, 759
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
634 : 1, 2, 317, 634
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,759,520,634,897, is 1.
Now, the common factors can be found like this.
647:647
759:3x 11x 23
520:2x 2x 2x 5x 13
634:2x 317
897:3x 13x 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 3x 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 145221561136080/(1x1794)
LCM = 145221561136080/1794
LCM = 80948473320
Thus, we can understand that the LCM of 647,759,520,634,897 is 80948473320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 759, 520, 634, 897?
Answer: LCM of 647, 759, 520, 634, 897 is 80948473320.
2. How to calculate the LCM of 647, 759, 520, 634, 897?
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 647, 759, 520, 634, 897.
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}.