Find the LCM of 969, 755, 544, 808, 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 969, 755, 544, 808, 697. So, keep reading to learn more.
Given numbers are 969,755,544,808,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,755,544,808,697 is 96945116640.
Find LCM of 969,755,544,808,697 with Prime Factorization
2 | 969, 755, 544, 808, 697 |
2 | 969, 755, 272, 404, 697 |
2 | 969, 755, 136, 202, 697 |
17 | 969, 755, 68, 101, 697 |
57, 755, 4, 101, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 57 x 755 x 4 x 101 x 41 = 96945116640
Therefore, the lowest common multiple of 969,755,544,808,697 is 96945116640.
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.
969 x 755 x 544 x 808 x 697 = 224137109671680
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
755 : 1, 5, 151, 755
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
808 : 1, 2, 4, 8, 101, 202, 404, 808
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,755,544,808,697, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
755:5x 151
544:2x 2x 2x 2x 2x 17
808:2x 2x 2x 101
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 2x 17x 17 = 2312
Therefore, the value for common factors is 2312.
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 = 224137109671680/(1x2312)
LCM = 224137109671680/2312
LCM = 96945116640
Thus, we can understand that the LCM of 969,755,544,808,697 is 96945116640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 755, 544, 808, 697?
Answer: LCM of 969, 755, 544, 808, 697 is 96945116640.
2. How to calculate the LCM of 969, 755, 544, 808, 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 969, 755, 544, 808, 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}.