LCM of 546, 459, 788, 268, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 459, 788, 268, 893 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 546, 459, 788, 268, 893. So, keep reading to learn more.
Given numbers are 546,459,788,268,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,459,788,268,893 is 1969275858732.
Find LCM of 546,459,788,268,893 with Prime Factorization
| 2 | 546, 459, 788, 268, 893 |
| 2 | 273, 459, 394, 134, 893 |
| 3 | 273, 459, 197, 67, 893 |
| 91, 153, 197, 67, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 153 x 197 x 67 x 893 = 1969275858732
Therefore, the lowest common multiple of 546,459,788,268,893 is 1969275858732.
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.
546 x 459 x 788 x 268 x 893 = 47262620609568
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
459 : 1, 3, 9, 17, 27, 51, 153, 459
788 : 1, 2, 4, 197, 394, 788
268 : 1, 2, 4, 67, 134, 268
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,459,788,268,893, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
459:3x 3x 3x 17
788:2x 2x 197
268:2x 2x 67
893:19x 47
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 47262620609568/(1x24)
LCM = 47262620609568/24
LCM = 1969275858732
Thus, we can understand that the LCM of 546,459,788,268,893 is 1969275858732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 459, 788, 268, 893
1. What is the LCM of 546, 459, 788, 268, 893?
Answer: LCM of 546, 459, 788, 268, 893 is 1969275858732.
2. How to calculate the LCM of 546, 459, 788, 268, 893?
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 546, 459, 788, 268, 893.
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}.