LCM of 533, 409, 918, 729, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 409, 918, 729, 693 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 533, 409, 918, 729, 693. So, keep reading to learn more.
Given numbers are 533,409,918,729,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,409,918,729,693 is 416052070434.
Find LCM of 533,409,918,729,693 with Prime Factorization
| 3 | 533, 409, 918, 729, 693 |
| 3 | 533, 409, 306, 243, 231 |
| 3 | 533, 409, 102, 81, 77 |
| 533, 409, 34, 27, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 533 x 409 x 34 x 27 x 77 = 416052070434
Therefore, the lowest common multiple of 533,409,918,729,693 is 416052070434.
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.
533 x 409 x 918 x 729 x 693 = 101100653115462
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.
533 : 1, 13, 41, 533
409 : 1, 409
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
729 : 1, 3, 9, 27, 81, 243, 729
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,409,918,729,693, is 1.
Now, the common factors can be found like this.
533:13x 41
409:409
918:2x 3x 3x 3x 17
729:3x 3x 3x 3x 3x 3
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 101100653115462/(1x243)
LCM = 101100653115462/243
LCM = 416052070434
Thus, we can understand that the LCM of 533,409,918,729,693 is 416052070434.
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FAQs on LCM of 533, 409, 918, 729, 693
1. What is the LCM of 533, 409, 918, 729, 693?
Answer: LCM of 533, 409, 918, 729, 693 is 416052070434.
2. How to calculate the LCM of 533, 409, 918, 729, 693?
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 533, 409, 918, 729, 693.
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}.