LCM of 364, 659, 588, 731, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 659, 588, 731, 138 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, 659, 588, 731, 138. So, keep reading to learn more.
Given numbers are 364,659,588,731,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,659,588,731,138 is 84693738948.
Find LCM of 364,659,588,731,138 with Prime Factorization
| 2 | 364, 659, 588, 731, 138 |
| 2 | 182, 659, 294, 731, 69 |
| 3 | 91, 659, 147, 731, 69 |
| 7 | 91, 659, 49, 731, 23 |
| 13, 659, 7, 731, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 659 x 7 x 731 x 23 = 84693738948
Therefore, the lowest common multiple of 364,659,588,731,138 is 84693738948.
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 659 x 588 x 731 x 138 = 14228548143264
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
659 : 1, 659
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
731 : 1, 17, 43, 731
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,659,588,731,138, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
659:659
588:2x 2x 3x 7x 7
731:17x 43
138:2x 3x 23
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 7 = 168
Therefore, the value for common factors is 168.
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 = 14228548143264/(1x168)
LCM = 14228548143264/168
LCM = 84693738948
Thus, we can understand that the LCM of 364,659,588,731,138 is 84693738948.
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FAQs on LCM of 364, 659, 588, 731, 138
1. What is the LCM of 364, 659, 588, 731, 138?
Answer: LCM of 364, 659, 588, 731, 138 is 84693738948.
2. How to calculate the LCM of 364, 659, 588, 731, 138?
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, 659, 588, 731, 138.
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}.