LCM of 986, 894, 435, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 894, 435, 982 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 986, 894, 435, 982. So, keep reading to learn more.
Given numbers are 986,894,435,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,894,435,982 is 1082021610.
Find LCM of 986,894,435,982 with Prime Factorization
| 2 | 986, 894, 435, 982 |
| 3 | 493, 447, 435, 491 |
| 29 | 493, 149, 145, 491 |
| 17, 149, 5, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 17 x 149 x 5 x 491 = 1082021610
Therefore, the lowest common multiple of 986,894,435,982 is 1082021610.
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.
986 x 894 x 435 x 982 = 376543520280
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
894 : 1, 2, 3, 6, 149, 298, 447, 894
435 : 1, 3, 5, 15, 29, 87, 145, 435
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,894,435,982, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
894:2x 3x 149
435:3x 5x 29
982:2x 491
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 376543520280/(1x348)
LCM = 376543520280/348
LCM = 1082021610
Thus, we can understand that the LCM of 986,894,435,982 is 1082021610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 894, 435, 982
1. What is the LCM of 986, 894, 435, 982?
Answer: LCM of 986, 894, 435, 982 is 1082021610.
2. How to calculate the LCM of 986, 894, 435, 982?
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 986, 894, 435, 982.
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}.