LCM of 348, 818, 165, 600, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 818, 165, 600, 835 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 348, 818, 165, 600, 835. So, keep reading to learn more.
Given numbers are 348,818,165,600,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,818,165,600,835 is 13073194200.
Find LCM of 348,818,165,600,835 with Prime Factorization
| 2 | 348, 818, 165, 600, 835 |
| 2 | 174, 409, 165, 300, 835 |
| 3 | 87, 409, 165, 150, 835 |
| 5 | 29, 409, 55, 50, 835 |
| 29, 409, 11, 10, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 409 x 11 x 10 x 167 = 13073194200
Therefore, the lowest common multiple of 348,818,165,600,835 is 13073194200.
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.
348 x 818 x 165 x 600 x 835 = 23531749560000
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
818 : 1, 2, 409, 818
165 : 1, 3, 5, 11, 15, 33, 55, 165
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,818,165,600,835, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
818:2x 409
165:3x 5x 11
600:2x 2x 2x 3x 5x 5
835:5x 167
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 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 23531749560000/(1x1800)
LCM = 23531749560000/1800
LCM = 13073194200
Thus, we can understand that the LCM of 348,818,165,600,835 is 13073194200.
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FAQs on LCM of 348, 818, 165, 600, 835
1. What is the LCM of 348, 818, 165, 600, 835?
Answer: LCM of 348, 818, 165, 600, 835 is 13073194200.
2. How to calculate the LCM of 348, 818, 165, 600, 835?
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 348, 818, 165, 600, 835.
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}.