LCM of 982, 646, 468, 969, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 646, 468, 969, 692 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, 646, 468, 969, 692. So, keep reading to learn more.
Given numbers are 982,646,468,969,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,646,468,969,692 is 12840323652.
Find LCM of 982,646,468,969,692 with Prime Factorization
| 2 | 982, 646, 468, 969, 692 |
| 2 | 491, 323, 234, 969, 346 |
| 3 | 491, 323, 117, 969, 173 |
| 17 | 491, 323, 39, 323, 173 |
| 19 | 491, 19, 39, 19, 173 |
| 491, 1, 39, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 491 x 1 x 39 x 1 x 173 = 12840323652
Therefore, the lowest common multiple of 982,646,468,969,692 is 12840323652.
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 646 x 468 x 969 x 692 = 199076377900608
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
969 : 1, 3, 17, 19, 51, 57, 323, 969
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,646,468,969,692, is 1.
Now, the common factors can be found like this.
982:2x 491
646:2x 17x 19
468:2x 2x 3x 3x 13
969:3x 17x 19
692:2x 2x 173
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 2x 3x 17x 19 = 15504
Therefore, the value for common factors is 15504.
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 = 199076377900608/(1x15504)
LCM = 199076377900608/15504
LCM = 12840323652
Thus, we can understand that the LCM of 982,646,468,969,692 is 12840323652.
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FAQs on LCM of 982, 646, 468, 969, 692
1. What is the LCM of 982, 646, 468, 969, 692?
Answer: LCM of 982, 646, 468, 969, 692 is 12840323652.
2. How to calculate the LCM of 982, 646, 468, 969, 692?
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, 646, 468, 969, 692.
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}.