LCM of 382, 972, 836, 621, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 972, 836, 621, 369 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 382, 972, 836, 621, 369. So, keep reading to learn more.
Given numbers are 382,972,836,621,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,972,836,621,369 is 36589595724.
Find LCM of 382,972,836,621,369 with Prime Factorization
| 2 | 382, 972, 836, 621, 369 |
| 2 | 191, 486, 418, 621, 369 |
| 3 | 191, 243, 209, 621, 369 |
| 3 | 191, 81, 209, 207, 123 |
| 3 | 191, 27, 209, 69, 41 |
| 191, 9, 209, 23, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 191 x 9 x 209 x 23 x 41 = 36589595724
Therefore, the lowest common multiple of 382,972,836,621,369 is 36589595724.
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.
382 x 972 x 836 x 621 x 369 = 71130174087456
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.
382 : 1, 2, 191, 382
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
621 : 1, 3, 9, 23, 27, 69, 207, 621
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,972,836,621,369, is 1.
Now, the common factors can be found like this.
382:2x 191
972:2x 2x 3x 3x 3x 3x 3
836:2x 2x 11x 19
621:3x 3x 3x 23
369:3x 3x 41
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 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 71130174087456/(1x1944)
LCM = 71130174087456/1944
LCM = 36589595724
Thus, we can understand that the LCM of 382,972,836,621,369 is 36589595724.
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FAQs on LCM of 382, 972, 836, 621, 369
1. What is the LCM of 382, 972, 836, 621, 369?
Answer: LCM of 382, 972, 836, 621, 369 is 36589595724.
2. How to calculate the LCM of 382, 972, 836, 621, 369?
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 382, 972, 836, 621, 369.
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}.