Find the LCM of 279, 986, 436, 952, 981 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 279, 986, 436, 952, 981. So, keep reading to learn more.
Given numbers are 279,986,436,952,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,986,436,952,981 is 839586888.
Find LCM of 279,986,436,952,981 with Prime Factorization
2 | 279, 986, 436, 952, 981 |
2 | 279, 493, 218, 476, 981 |
3 | 279, 493, 109, 238, 981 |
3 | 93, 493, 109, 238, 327 |
17 | 31, 493, 109, 238, 109 |
109 | 31, 29, 109, 14, 109 |
31, 29, 1, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 109 x 31 x 29 x 1 x 14 x 1 = 839586888
Therefore, the lowest common multiple of 279,986,436,952,981 is 839586888.
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.
279 x 986 x 436 x 952 x 981 = 112014324249408
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.
279 : 1, 3, 9, 31, 93, 279
986 : 1, 2, 17, 29, 34, 58, 493, 986
436 : 1, 2, 4, 109, 218, 436
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,986,436,952,981, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
986:2x 17x 29
436:2x 2x 109
952:2x 2x 2x 7x 17
981:3x 3x 109
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 3x 3x 17x 109 = 133416
Therefore, the value for common factors is 133416.
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 = 112014324249408/(1x133416)
LCM = 112014324249408/133416
LCM = 839586888
Thus, we can understand that the LCM of 279,986,436,952,981 is 839586888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 986, 436, 952, 981?
Answer: LCM of 279, 986, 436, 952, 981 is 839586888.
2. How to calculate the LCM of 279, 986, 436, 952, 981?
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 279, 986, 436, 952, 981.
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}.