LCM of 138, 784, 659, 310, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 784, 659, 310, 364 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 138, 784, 659, 310, 364. So, keep reading to learn more.
Given numbers are 138,784,659,310,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,784,659,310,364 is 71833266960.
Find LCM of 138,784,659,310,364 with Prime Factorization
| 2 | 138, 784, 659, 310, 364 |
| 2 | 69, 392, 659, 155, 182 |
| 7 | 69, 196, 659, 155, 91 |
| 69, 28, 659, 155, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 69 x 28 x 659 x 155 x 13 = 71833266960
Therefore, the lowest common multiple of 138,784,659,310,364 is 71833266960.
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.
138 x 784 x 659 x 310 x 364 = 8045325899520
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
659 : 1, 659
310 : 1, 2, 5, 10, 31, 62, 155, 310
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,784,659,310,364, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
784:2x 2x 2x 2x 7x 7
659:659
310:2x 5x 31
364:2x 2x 7x 13
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 7 = 112
Therefore, the value for common factors is 112.
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 = 8045325899520/(1x112)
LCM = 8045325899520/112
LCM = 71833266960
Thus, we can understand that the LCM of 138,784,659,310,364 is 71833266960.
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FAQs on LCM of 138, 784, 659, 310, 364
1. What is the LCM of 138, 784, 659, 310, 364?
Answer: LCM of 138, 784, 659, 310, 364 is 71833266960.
2. How to calculate the LCM of 138, 784, 659, 310, 364?
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 138, 784, 659, 310, 364.
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}.