LCM of 522, 841, 745, 702, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 841, 745, 702, 783 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, 841, 745, 702, 783. So, keep reading to learn more.
Given numbers are 522,841,745,702,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,841,745,702,783 is 439834590.
Find LCM of 522,841,745,702,783 with Prime Factorization
| 2 | 522, 841, 745, 702, 783 |
| 3 | 261, 841, 745, 351, 783 |
| 3 | 87, 841, 745, 117, 261 |
| 3 | 29, 841, 745, 39, 87 |
| 29 | 29, 841, 745, 13, 29 |
| 1, 1, 745, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 29 x 1 x 1 x 745 x 13 x 29 = 439834590
Therefore, the lowest common multiple of 522,841,745,702,783 is 439834590.
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 841 x 745 x 702 x 783 = 179771832632340
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
841 : 1, 29, 841
745 : 1, 5, 149, 745
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,841,745,702,783, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
841:29x 29
745:5x 149
702:2x 3x 3x 3x 13
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 29x 29 = 408726
Therefore, the value for common factors is 408726.
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 = 179771832632340/(1x408726)
LCM = 179771832632340/408726
LCM = 439834590
Thus, we can understand that the LCM of 522,841,745,702,783 is 439834590.
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FAQs on LCM of 522, 841, 745, 702, 783
1. What is the LCM of 522, 841, 745, 702, 783?
Answer: LCM of 522, 841, 745, 702, 783 is 439834590.
2. How to calculate the LCM of 522, 841, 745, 702, 783?
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, 841, 745, 702, 783.
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}.