LCM of 574, 878, 647, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 574, 878, 647, 546 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 574, 878, 647, 546. So, keep reading to learn more.
Given numbers are 574,878,647,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,878,647,546 is 6358362738.
Find LCM of 574,878,647,546 with Prime Factorization
| 2 | 574, 878, 647, 546 |
| 7 | 287, 439, 647, 273 |
| 41, 439, 647, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 439 x 647 x 39 = 6358362738
Therefore, the lowest common multiple of 574,878,647,546 is 6358362738.
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.
574 x 878 x 647 x 546 = 178034156664
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
878 : 1, 2, 439, 878
647 : 1, 647
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,878,647,546, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
878:2x 439
647:647
546:2x 3x 7x 13
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 7 = 28
Therefore, the value for common factors is 28.
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 = 178034156664/(1x28)
LCM = 178034156664/28
LCM = 6358362738
Thus, we can understand that the LCM of 574,878,647,546 is 6358362738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 574, 878, 647, 546
1. What is the LCM of 574, 878, 647, 546?
Answer: LCM of 574, 878, 647, 546 is 6358362738.
2. How to calculate the LCM of 574, 878, 647, 546?
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 574, 878, 647, 546.
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}.