LCM of 396, 836, 741, 533, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 836, 741, 533, 583 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 396, 836, 741, 533, 583. So, keep reading to learn more.
Given numbers are 396,836,741,533,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,836,741,533,583 is 212545476.
Find LCM of 396,836,741,533,583 with Prime Factorization
| 2 | 396, 836, 741, 533, 583 |
| 2 | 198, 418, 741, 533, 583 |
| 3 | 99, 209, 741, 533, 583 |
| 11 | 33, 209, 247, 533, 583 |
| 13 | 3, 19, 247, 533, 53 |
| 19 | 3, 19, 19, 41, 53 |
| 3, 1, 1, 41, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 19 x 3 x 1 x 1 x 41 x 53 = 212545476
Therefore, the lowest common multiple of 396,836,741,533,583 is 212545476.
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.
396 x 836 x 741 x 533 x 583 = 76228159694544
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
741 : 1, 3, 13, 19, 39, 57, 247, 741
533 : 1, 13, 41, 533
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,836,741,533,583, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
836:2x 2x 11x 19
741:3x 13x 19
533:13x 41
583:11x 53
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 11x 11x 13x 19 = 358644
Therefore, the value for common factors is 358644.
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 = 76228159694544/(1x358644)
LCM = 76228159694544/358644
LCM = 212545476
Thus, we can understand that the LCM of 396,836,741,533,583 is 212545476.
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FAQs on LCM of 396, 836, 741, 533, 583
1. What is the LCM of 396, 836, 741, 533, 583?
Answer: LCM of 396, 836, 741, 533, 583 is 212545476.
2. How to calculate the LCM of 396, 836, 741, 533, 583?
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 396, 836, 741, 533, 583.
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}.