Find the LCM of 982, 920, 299, 273, 748 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 982, 920, 299, 273, 748. So, keep reading to learn more.
Given numbers are 982,920,299,273,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,920,299,273,748 is 23060757720.
Find LCM of 982,920,299,273,748 with Prime Factorization
2 | 982, 920, 299, 273, 748 |
2 | 491, 460, 299, 273, 374 |
13 | 491, 230, 299, 273, 187 |
23 | 491, 230, 23, 21, 187 |
491, 10, 1, 21, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 491 x 10 x 1 x 21 x 187 = 23060757720
Therefore, the lowest common multiple of 982,920,299,273,748 is 23060757720.
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.
982 x 920 x 299 x 273 x 748 = 55161332466240
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.
982 : 1, 2, 491, 982
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
299 : 1, 13, 23, 299
273 : 1, 3, 7, 13, 21, 39, 91, 273
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,920,299,273,748, is 1.
Now, the common factors can be found like this.
982:2x 491
920:2x 2x 2x 5x 23
299:13x 23
273:3x 7x 13
748:2x 2x 11x 17
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 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 55161332466240/(1x2392)
LCM = 55161332466240/2392
LCM = 23060757720
Thus, we can understand that the LCM of 982,920,299,273,748 is 23060757720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 982, 920, 299, 273, 748?
Answer: LCM of 982, 920, 299, 273, 748 is 23060757720.
2. How to calculate the LCM of 982, 920, 299, 273, 748?
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 982, 920, 299, 273, 748.
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}.