LCM of 513, 693, 746, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 693, 746, 209 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 513, 693, 746, 209. So, keep reading to learn more.
Given numbers are 513,693,746,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,693,746,209 is 29467746.
Find LCM of 513,693,746,209 with Prime Factorization
| 3 | 513, 693, 746, 209 |
| 3 | 171, 231, 746, 209 |
| 11 | 57, 77, 746, 209 |
| 19 | 57, 7, 746, 19 |
| 3, 7, 746, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 19 x 3 x 7 x 746 x 1 = 29467746
Therefore, the lowest common multiple of 513,693,746,209 is 29467746.
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.
513 x 693 x 746 x 209 = 55428830226
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
746 : 1, 2, 373, 746
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,693,746,209, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
693:3x 3x 7x 11
746:2x 373
209:11x 19
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 11x 19 = 1881
Therefore, the value for common factors is 1881.
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 = 55428830226/(1x1881)
LCM = 55428830226/1881
LCM = 29467746
Thus, we can understand that the LCM of 513,693,746,209 is 29467746.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 693, 746, 209
1. What is the LCM of 513, 693, 746, 209?
Answer: LCM of 513, 693, 746, 209 is 29467746.
2. How to calculate the LCM of 513, 693, 746, 209?
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 513, 693, 746, 209.
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}.