LCM of 546, 302, 384, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 302, 384, 564 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, 302, 384, 564. So, keep reading to learn more.
Given numbers are 546,302,384,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,302,384,564 is 247997568.
Find LCM of 546,302,384,564 with Prime Factorization
| 2 | 546, 302, 384, 564 |
| 2 | 273, 151, 192, 282 |
| 3 | 273, 151, 96, 141 |
| 91, 151, 32, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 151 x 32 x 47 = 247997568
Therefore, the lowest common multiple of 546,302,384,564 is 247997568.
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 302 x 384 x 564 = 35711649792
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
302 : 1, 2, 151, 302
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,302,384,564, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
302:2x 151
384:2x 2x 2x 2x 2x 2x 2x 3
564:2x 2x 3x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 35711649792/(2x72)
LCM = 35711649792/144
LCM = 247997568
Thus, we can understand that the LCM of 546,302,384,564 is 247997568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 302, 384, 564
1. What is the LCM of 546, 302, 384, 564?
Answer: LCM of 546, 302, 384, 564 is 247997568.
2. How to calculate the LCM of 546, 302, 384, 564?
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, 302, 384, 564.
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}.