LCM of 522, 228, 836, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 228, 836, 689 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 522, 228, 836, 689. So, keep reading to learn more.
Given numbers are 522,228,836,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,228,836,689 is 150337044.
Find LCM of 522,228,836,689 with Prime Factorization
| 2 | 522, 228, 836, 689 |
| 2 | 261, 114, 418, 689 |
| 3 | 261, 57, 209, 689 |
| 19 | 87, 19, 209, 689 |
| 87, 1, 11, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 87 x 1 x 11 x 689 = 150337044
Therefore, the lowest common multiple of 522,228,836,689 is 150337044.
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.
522 x 228 x 836 x 689 = 68553692064
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,228,836,689, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
228:2x 2x 3x 19
836:2x 2x 11x 19
689:13x 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 2x 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 68553692064/(1x456)
LCM = 68553692064/456
LCM = 150337044
Thus, we can understand that the LCM of 522,228,836,689 is 150337044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 522, 228, 836, 689
1. What is the LCM of 522, 228, 836, 689?
Answer: LCM of 522, 228, 836, 689 is 150337044.
2. How to calculate the LCM of 522, 228, 836, 689?
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 522, 228, 836, 689.
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}.