LCM of 348, 320, 700, 843, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 320, 700, 843, 730 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, 320, 700, 843, 730. So, keep reading to learn more.
Given numbers are 348,320,700,843,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,320,700,843,730 is 19987867200.
Find LCM of 348,320,700,843,730 with Prime Factorization
| 2 | 348, 320, 700, 843, 730 |
| 2 | 174, 160, 350, 843, 365 |
| 3 | 87, 80, 175, 843, 365 |
| 5 | 29, 80, 175, 281, 365 |
| 29, 16, 35, 281, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 16 x 35 x 281 x 73 = 19987867200
Therefore, the lowest common multiple of 348,320,700,843,730 is 19987867200.
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 320 x 700 x 843 x 730 = 47970881280000
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
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
843 : 1, 3, 281, 843
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,320,700,843,730, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
320:2x 2x 2x 2x 2x 2x 5
700:2x 2x 5x 5x 7
843:3x 281
730:2x 5x 73
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 2x 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 47970881280000/(1x2400)
LCM = 47970881280000/2400
LCM = 19987867200
Thus, we can understand that the LCM of 348,320,700,843,730 is 19987867200.
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FAQs on LCM of 348, 320, 700, 843, 730
1. What is the LCM of 348, 320, 700, 843, 730?
Answer: LCM of 348, 320, 700, 843, 730 is 19987867200.
2. How to calculate the LCM of 348, 320, 700, 843, 730?
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, 320, 700, 843, 730.
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}.