LCM of 926, 441, 836, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 441, 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 926, 441, 836, 532. So, keep reading to learn more.
Given numbers are 926,441,836,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,441,836,532 is 170696988.
Find LCM of 926,441,836,532 with Prime Factorization
| 2 | 926, 441, 836, 532 |
| 2 | 463, 441, 418, 266 |
| 7 | 463, 441, 209, 133 |
| 19 | 463, 63, 209, 19 |
| 463, 63, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 463 x 63 x 11 x 1 = 170696988
Therefore, the lowest common multiple of 926,441,836,532 is 170696988.
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.
926 x 441 x 836 x 532 = 181621595232
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.
926 : 1, 2, 463, 926
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
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 926,441,836,532, is 1.
Now, the common factors can be found like this.
926:2x 463
441:3x 3x 7x 7
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 19 = 1064
Therefore, the value for common factors is 1064.
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 = 181621595232/(1x1064)
LCM = 181621595232/1064
LCM = 170696988
Thus, we can understand that the LCM of 926,441,836,532 is 170696988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 441, 836, 532
1. What is the LCM of 926, 441, 836, 532?
Answer: LCM of 926, 441, 836, 532 is 170696988.
2. How to calculate the LCM of 926, 441, 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 926, 441, 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}.