LCM of 543, 896, 156, 646, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 896, 156, 646, 145 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 543, 896, 156, 646, 145. So, keep reading to learn more.
Given numbers are 543,896,156,646,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,896,156,646,145 is 296225005440.
Find LCM of 543,896,156,646,145 with Prime Factorization
| 2 | 543, 896, 156, 646, 145 |
| 2 | 543, 448, 78, 323, 145 |
| 3 | 543, 224, 39, 323, 145 |
| 181, 224, 13, 323, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 224 x 13 x 323 x 145 = 296225005440
Therefore, the lowest common multiple of 543,896,156,646,145 is 296225005440.
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.
543 x 896 x 156 x 646 x 145 = 7109400130560
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.
543 : 1, 3, 181, 543
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
646 : 1, 2, 17, 19, 34, 38, 323, 646
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,896,156,646,145, is 1.
Now, the common factors can be found like this.
543:3x 181
896:2x 2x 2x 2x 2x 2x 2x 7
156:2x 2x 3x 13
646:2x 17x 19
145:5x 29
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 = 7109400130560/(1x24)
LCM = 7109400130560/24
LCM = 296225005440
Thus, we can understand that the LCM of 543,896,156,646,145 is 296225005440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 543, 896, 156, 646, 145
1. What is the LCM of 543, 896, 156, 646, 145?
Answer: LCM of 543, 896, 156, 646, 145 is 296225005440.
2. How to calculate the LCM of 543, 896, 156, 646, 145?
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 543, 896, 156, 646, 145.
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}.