LCM of 368, 559, 195, 473, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 559, 195, 473, 659 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 368, 559, 195, 473, 659. So, keep reading to learn more.
Given numbers are 368,559,195,473,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,559,195,473,659 is 22368094320.
Find LCM of 368,559,195,473,659 with Prime Factorization
| 13 | 368, 559, 195, 473, 659 |
| 43 | 368, 43, 15, 473, 659 |
| 368, 1, 15, 11, 659 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 368 x 1 x 15 x 11 x 659 = 22368094320
Therefore, the lowest common multiple of 368,559,195,473,659 is 22368094320.
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.
368 x 559 x 195 x 473 x 659 = 12503764724880
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
559 : 1, 13, 43, 559
195 : 1, 3, 5, 13, 15, 39, 65, 195
473 : 1, 11, 43, 473
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,559,195,473,659, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
559:13x 43
195:3x 5x 13
473:11x 43
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 12503764724880/(1x559)
LCM = 12503764724880/559
LCM = 22368094320
Thus, we can understand that the LCM of 368,559,195,473,659 is 22368094320.
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FAQs on LCM of 368, 559, 195, 473, 659
1. What is the LCM of 368, 559, 195, 473, 659?
Answer: LCM of 368, 559, 195, 473, 659 is 22368094320.
2. How to calculate the LCM of 368, 559, 195, 473, 659?
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 368, 559, 195, 473, 659.
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}.