LCM of 815, 462, 836, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 462, 836, 532 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 815, 462, 836, 532. So, keep reading to learn more.
Given numbers are 815,462,836,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,462,836,532 is 14308140.
Find LCM of 815,462,836,532 with Prime Factorization
| 2 | 815, 462, 836, 532 |
| 2 | 815, 231, 418, 266 |
| 7 | 815, 231, 209, 133 |
| 11 | 815, 33, 209, 19 |
| 19 | 815, 3, 19, 19 |
| 815, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 19 x 815 x 3 x 1 x 1 = 14308140
Therefore, the lowest common multiple of 815,462,836,532 is 14308140.
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.
815 x 462 x 836 x 532 = 167462470560
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.
815 : 1, 5, 163, 815
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,462,836,532, is 1.
Now, the common factors can be found like this.
815:5x 163
462:2x 3x 7x 11
836:2x 2x 11x 19
532:2x 2x 7x 19
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 7x 11x 19 = 11704
Therefore, the value for common factors is 11704.
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 = 167462470560/(1x11704)
LCM = 167462470560/11704
LCM = 14308140
Thus, we can understand that the LCM of 815,462,836,532 is 14308140.
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FAQs on LCM of 815, 462, 836, 532
1. What is the LCM of 815, 462, 836, 532?
Answer: LCM of 815, 462, 836, 532 is 14308140.
2. How to calculate the LCM of 815, 462, 836, 532?
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 815, 462, 836, 532.
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}.