LCM of 423, 730, 705, 207, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 730, 705, 207, 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 423, 730, 705, 207, 730. So, keep reading to learn more.
Given numbers are 423,730,705,207,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,730,705,207,730 is 7102170.
Find LCM of 423,730,705,207,730 with Prime Factorization
| 2 | 423, 730, 705, 207, 730 |
| 3 | 423, 365, 705, 207, 365 |
| 3 | 141, 365, 235, 69, 365 |
| 5 | 47, 365, 235, 23, 365 |
| 47 | 47, 73, 47, 23, 73 |
| 73 | 1, 73, 1, 23, 73 |
| 1, 1, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 47 x 73 x 1 x 1 x 1 x 23 x 1 = 7102170
Therefore, the lowest common multiple of 423,730,705,207,730 is 7102170.
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.
423 x 730 x 705 x 207 x 730 = 32896186114500
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.
423 : 1, 3, 9, 47, 141, 423
730 : 1, 2, 5, 10, 73, 146, 365, 730
705 : 1, 3, 5, 15, 47, 141, 235, 705
207 : 1, 3, 9, 23, 69, 207
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 423,730,705,207,730, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
730:2x 5x 73
705:3x 5x 47
207:3x 3x 23
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 3x 3x 3x 5x 5x 47x 73 = 4631850
Therefore, the value for common factors is 4631850.
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 = 32896186114500/(1x4631850)
LCM = 32896186114500/4631850
LCM = 7102170
Thus, we can understand that the LCM of 423,730,705,207,730 is 7102170.
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FAQs on LCM of 423, 730, 705, 207, 730
1. What is the LCM of 423, 730, 705, 207, 730?
Answer: LCM of 423, 730, 705, 207, 730 is 7102170.
2. How to calculate the LCM of 423, 730, 705, 207, 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 423, 730, 705, 207, 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}.