LCM of 364, 192, 664, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 192, 664, 542 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 364, 192, 664, 542. So, keep reading to learn more.
Given numbers are 364,192,664,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,192,664,542 is 392997696.
Find LCM of 364,192,664,542 with Prime Factorization
| 2 | 364, 192, 664, 542 |
| 2 | 182, 96, 332, 271 |
| 2 | 91, 48, 166, 271 |
| 91, 24, 83, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 91 x 24 x 83 x 271 = 392997696
Therefore, the lowest common multiple of 364,192,664,542 is 392997696.
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.
364 x 192 x 664 x 542 = 25151852544
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
664 : 1, 2, 4, 8, 83, 166, 332, 664
542 : 1, 2, 271, 542
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,192,664,542, is 2.
Now, the common factors can be found like this.
364:2x 2x 7x 13
192:2x 2x 2x 2x 2x 2x 3
664:2x 2x 2x 83
542:2x 271
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 2 = 32
Therefore, the value for common factors is 32.
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 = 25151852544/(2x32)
LCM = 25151852544/64
LCM = 392997696
Thus, we can understand that the LCM of 364,192,664,542 is 392997696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 364, 192, 664, 542
1. What is the LCM of 364, 192, 664, 542?
Answer: LCM of 364, 192, 664, 542 is 392997696.
2. How to calculate the LCM of 364, 192, 664, 542?
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 364, 192, 664, 542.
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}.