LCM of 409, 546, 741, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 546, 741, 513 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 409, 546, 741, 513. So, keep reading to learn more.
Given numbers are 409,546,741,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,546,741,513 is 38186694.
Find LCM of 409,546,741,513 with Prime Factorization
| 3 | 409, 546, 741, 513 |
| 13 | 409, 182, 247, 171 |
| 19 | 409, 14, 19, 171 |
| 409, 14, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 409 x 14 x 1 x 9 = 38186694
Therefore, the lowest common multiple of 409,546,741,513 is 38186694.
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.
409 x 546 x 741 x 513 = 84889020762
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.
409 : 1, 409
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
741 : 1, 3, 13, 19, 39, 57, 247, 741
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,546,741,513, is 1.
Now, the common factors can be found like this.
409:409
546:2x 3x 7x 13
741:3x 13x 19
513:3x 3x 3x 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 13x 19 = 2223
Therefore, the value for common factors is 2223.
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 = 84889020762/(1x2223)
LCM = 84889020762/2223
LCM = 38186694
Thus, we can understand that the LCM of 409,546,741,513 is 38186694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 546, 741, 513
1. What is the LCM of 409, 546, 741, 513?
Answer: LCM of 409, 546, 741, 513 is 38186694.
2. How to calculate the LCM of 409, 546, 741, 513?
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 409, 546, 741, 513.
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}.