Find the LCM of 957, 138, 901, 969, 589 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 957, 138, 901, 969, 589. So, keep reading to learn more.
Given numbers are 957,138,901,969,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,138,901,969,589 is 23361991158.
Find LCM of 957,138,901,969,589 with Prime Factorization
3 | 957, 138, 901, 969, 589 |
17 | 319, 46, 901, 323, 589 |
19 | 319, 46, 53, 19, 589 |
319, 46, 53, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 319 x 46 x 53 x 1 x 31 = 23361991158
Therefore, the lowest common multiple of 957,138,901,969,589 is 23361991158.
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.
957 x 138 x 901 x 969 x 589 = 67913308296306
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
138 : 1, 2, 3, 6, 23, 46, 69, 138
901 : 1, 17, 53, 901
969 : 1, 3, 17, 19, 51, 57, 323, 969
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,138,901,969,589, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
138:2x 3x 23
901:17x 53
969:3x 17x 19
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 19 = 2907
Therefore, the value for common factors is 2907.
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 = 67913308296306/(1x2907)
LCM = 67913308296306/2907
LCM = 23361991158
Thus, we can understand that the LCM of 957,138,901,969,589 is 23361991158.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 138, 901, 969, 589?
Answer: LCM of 957, 138, 901, 969, 589 is 23361991158.
2. How to calculate the LCM of 957, 138, 901, 969, 589?
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 957, 138, 901, 969, 589.
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}.