Find the LCM of 238, 642, 556, 986, 526 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 238, 642, 556, 986, 526. So, keep reading to learn more.
Given numbers are 238,642,556,986,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,642,556,986,526 is 161987137788.
Find LCM of 238,642,556,986,526 with Prime Factorization
2 | 238, 642, 556, 986, 526 |
17 | 119, 321, 278, 493, 263 |
7, 321, 278, 29, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 7 x 321 x 278 x 29 x 263 = 161987137788
Therefore, the lowest common multiple of 238,642,556,986,526 is 161987137788.
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.
238 x 642 x 556 x 986 x 526 = 44060501478336
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
642 : 1, 2, 3, 6, 107, 214, 321, 642
556 : 1, 2, 4, 139, 278, 556
986 : 1, 2, 17, 29, 34, 58, 493, 986
526 : 1, 2, 263, 526
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,642,556,986,526, is 2.
Now, the common factors can be found like this.
238:2x 7x 17
642:2x 3x 107
556:2x 2x 139
986:2x 17x 29
526:2x 263
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 17 = 136
Therefore, the value for common factors is 136.
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 = 44060501478336/(2x136)
LCM = 44060501478336/272
LCM = 161987137788
Thus, we can understand that the LCM of 238,642,556,986,526 is 161987137788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 238, 642, 556, 986, 526?
Answer: LCM of 238, 642, 556, 986, 526 is 161987137788.
2. How to calculate the LCM of 238, 642, 556, 986, 526?
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 238, 642, 556, 986, 526.
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}.