Find the LCM of 970, 588, 969, 153, 459 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 970, 588, 969, 153, 459. So, keep reading to learn more.
Given numbers are 970,588,969,153,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,588,969,153,459 is 829018260.
Find LCM of 970,588,969,153,459 with Prime Factorization
2 | 970, 588, 969, 153, 459 |
3 | 485, 294, 969, 153, 459 |
3 | 485, 98, 323, 51, 153 |
17 | 485, 98, 323, 17, 51 |
485, 98, 19, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 485 x 98 x 19 x 1 x 3 = 829018260
Therefore, the lowest common multiple of 970,588,969,153,459 is 829018260.
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.
970 x 588 x 969 x 153 x 459 = 38812976896680
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
969 : 1, 3, 17, 19, 51, 57, 323, 969
153 : 1, 3, 9, 17, 51, 153
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,588,969,153,459, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
588:2x 2x 3x 7x 7
969:3x 17x 19
153:3x 3x 17
459:3x 3x 3x 17
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 3x 17x 17 = 46818
Therefore, the value for common factors is 46818.
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 = 38812976896680/(1x46818)
LCM = 38812976896680/46818
LCM = 829018260
Thus, we can understand that the LCM of 970,588,969,153,459 is 829018260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 588, 969, 153, 459?
Answer: LCM of 970, 588, 969, 153, 459 is 829018260.
2. How to calculate the LCM of 970, 588, 969, 153, 459?
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 970, 588, 969, 153, 459.
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}.