Find the LCM of 971, 690, 693, 873, 308 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 971, 690, 693, 873, 308. So, keep reading to learn more.
Given numbers are 971,690,693,873,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,690,693,873,308 is 30024931860.
Find LCM of 971,690,693,873,308 with Prime Factorization
2 | 971, 690, 693, 873, 308 |
3 | 971, 345, 693, 873, 154 |
3 | 971, 115, 231, 291, 154 |
7 | 971, 115, 77, 97, 154 |
11 | 971, 115, 11, 97, 22 |
971, 115, 1, 97, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 971 x 115 x 1 x 97 x 2 = 30024931860
Therefore, the lowest common multiple of 971,690,693,873,308 is 30024931860.
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.
971 x 690 x 693 x 873 x 308 = 124843666673880
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.
971 : 1, 971
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
873 : 1, 3, 9, 97, 291, 873
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,690,693,873,308, is 1.
Now, the common factors can be found like this.
971:971
690:2x 3x 5x 23
693:3x 3x 7x 11
873:3x 3x 97
308:2x 2x 7x 11
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 3x 3x 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 124843666673880/(1x4158)
LCM = 124843666673880/4158
LCM = 30024931860
Thus, we can understand that the LCM of 971,690,693,873,308 is 30024931860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 971, 690, 693, 873, 308?
Answer: LCM of 971, 690, 693, 873, 308 is 30024931860.
2. How to calculate the LCM of 971, 690, 693, 873, 308?
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 971, 690, 693, 873, 308.
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}.