LCM of 456, 578, 705, 951, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 578, 705, 951, 324 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 456, 578, 705, 951, 324. So, keep reading to learn more.
Given numbers are 456,578,705,951,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,578,705,951,324 is 265065725160.
Find LCM of 456,578,705,951,324 with Prime Factorization
| 2 | 456, 578, 705, 951, 324 |
| 2 | 228, 289, 705, 951, 162 |
| 3 | 114, 289, 705, 951, 81 |
| 38, 289, 235, 317, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 38 x 289 x 235 x 317 x 27 = 265065725160
Therefore, the lowest common multiple of 456,578,705,951,324 is 265065725160.
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.
456 x 578 x 705 x 951 x 324 = 57254196634560
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
578 : 1, 2, 17, 34, 289, 578
705 : 1, 3, 5, 15, 47, 141, 235, 705
951 : 1, 3, 317, 951
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,578,705,951,324, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
578:2x 17x 17
705:3x 5x 47
951:3x 317
324:2x 2x 3x 3x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 57254196634560/(1x216)
LCM = 57254196634560/216
LCM = 265065725160
Thus, we can understand that the LCM of 456,578,705,951,324 is 265065725160.
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FAQs on LCM of 456, 578, 705, 951, 324
1. What is the LCM of 456, 578, 705, 951, 324?
Answer: LCM of 456, 578, 705, 951, 324 is 265065725160.
2. How to calculate the LCM of 456, 578, 705, 951, 324?
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 456, 578, 705, 951, 324.
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}.