Find the LCM of 957, 986, 679, 239, 230 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, 986, 679, 239, 230. So, keep reading to learn more.
Given numbers are 957,986,679,239,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,986,679,239,230 is 607234405470.
Find LCM of 957,986,679,239,230 with Prime Factorization
2 | 957, 986, 679, 239, 230 |
29 | 957, 493, 679, 239, 115 |
33, 17, 679, 239, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 33 x 17 x 679 x 239 x 115 = 607234405470
Therefore, the lowest common multiple of 957,986,679,239,230 is 607234405470.
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 986 x 679 x 239 x 230 = 35219595517260
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
679 : 1, 7, 97, 679
239 : 1, 239
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,986,679,239,230, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
986:2x 17x 29
679:7x 97
239:239
230:2x 5x 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 29 = 58
Therefore, the value for common factors is 58.
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 = 35219595517260/(1x58)
LCM = 35219595517260/58
LCM = 607234405470
Thus, we can understand that the LCM of 957,986,679,239,230 is 607234405470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 986, 679, 239, 230?
Answer: LCM of 957, 986, 679, 239, 230 is 607234405470.
2. How to calculate the LCM of 957, 986, 679, 239, 230?
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, 986, 679, 239, 230.
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}.