Find the LCM of 981, 357, 313, 714, 368 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 981, 357, 313, 714, 368. So, keep reading to learn more.
Given numbers are 981,357,313,714,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,357,313,714,368 is 13446464976.
Find LCM of 981,357,313,714,368 with Prime Factorization
2 | 981, 357, 313, 714, 368 |
3 | 981, 357, 313, 357, 184 |
7 | 327, 119, 313, 119, 184 |
17 | 327, 17, 313, 17, 184 |
327, 1, 313, 1, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 327 x 1 x 313 x 1 x 184 = 13446464976
Therefore, the lowest common multiple of 981,357,313,714,368 is 13446464976.
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.
981 x 357 x 313 x 714 x 368 = 28802327978592
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.
981 : 1, 3, 9, 109, 327, 981
357 : 1, 3, 7, 17, 21, 51, 119, 357
313 : 1, 313
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,357,313,714,368, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
357:3x 7x 17
313:313
714:2x 3x 7x 17
368:2x 2x 2x 2x 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 3x 3x 7x 17 = 2142
Therefore, the value for common factors is 2142.
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 = 28802327978592/(1x2142)
LCM = 28802327978592/2142
LCM = 13446464976
Thus, we can understand that the LCM of 981,357,313,714,368 is 13446464976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 981, 357, 313, 714, 368?
Answer: LCM of 981, 357, 313, 714, 368 is 13446464976.
2. How to calculate the LCM of 981, 357, 313, 714, 368?
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 981, 357, 313, 714, 368.
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}.