LCM of 542, 588, 798, 173, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 588, 798, 173, 864 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 542, 588, 798, 173, 864. So, keep reading to learn more.
Given numbers are 542,588,798,173,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,588,798,173,864 is 37711935072.
Find LCM of 542,588,798,173,864 with Prime Factorization
| 2 | 542, 588, 798, 173, 864 |
| 2 | 271, 294, 399, 173, 432 |
| 3 | 271, 147, 399, 173, 216 |
| 7 | 271, 49, 133, 173, 72 |
| 271, 7, 19, 173, 72 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 271 x 7 x 19 x 173 x 72 = 37711935072
Therefore, the lowest common multiple of 542,588,798,173,864 is 37711935072.
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.
542 x 588 x 798 x 173 x 864 = 38013630552576
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.
542 : 1, 2, 271, 542
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
173 : 1, 173
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,588,798,173,864, is 1.
Now, the common factors can be found like this.
542:2x 271
588:2x 2x 3x 7x 7
798:2x 3x 7x 19
173:173
864:2x 2x 2x 2x 2x 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 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 38013630552576/(1x1008)
LCM = 38013630552576/1008
LCM = 37711935072
Thus, we can understand that the LCM of 542,588,798,173,864 is 37711935072.
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FAQs on LCM of 542, 588, 798, 173, 864
1. What is the LCM of 542, 588, 798, 173, 864?
Answer: LCM of 542, 588, 798, 173, 864 is 37711935072.
2. How to calculate the LCM of 542, 588, 798, 173, 864?
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 542, 588, 798, 173, 864.
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}.