LCM of 533, 546, 264, 578, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 546, 264, 578, 328 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 533, 546, 264, 578, 328. So, keep reading to learn more.
Given numbers are 533,546,264,578,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,546,264,578,328 is 284660376.
Find LCM of 533,546,264,578,328 with Prime Factorization
| 2 | 533, 546, 264, 578, 328 |
| 2 | 533, 273, 132, 289, 164 |
| 2 | 533, 273, 66, 289, 82 |
| 3 | 533, 273, 33, 289, 41 |
| 13 | 533, 91, 11, 289, 41 |
| 41 | 41, 7, 11, 289, 41 |
| 1, 7, 11, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 41 x 1 x 7 x 11 x 289 x 1 = 284660376
Therefore, the lowest common multiple of 533,546,264,578,328 is 284660376.
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.
533 x 546 x 264 x 578 x 328 = 14565502119168
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.
533 : 1, 13, 41, 533
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
578 : 1, 2, 17, 34, 289, 578
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,546,264,578,328, is 1.
Now, the common factors can be found like this.
533:13x 41
546:2x 3x 7x 13
264:2x 2x 2x 3x 11
578:2x 17x 17
328:2x 2x 2x 41
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 2x 2x 3x 13x 41 = 51168
Therefore, the value for common factors is 51168.
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 = 14565502119168/(1x51168)
LCM = 14565502119168/51168
LCM = 284660376
Thus, we can understand that the LCM of 533,546,264,578,328 is 284660376.
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FAQs on LCM of 533, 546, 264, 578, 328
1. What is the LCM of 533, 546, 264, 578, 328?
Answer: LCM of 533, 546, 264, 578, 328 is 284660376.
2. How to calculate the LCM of 533, 546, 264, 578, 328?
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 533, 546, 264, 578, 328.
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}.