LCM of 730, 369, 123, 783, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 369, 123, 783, 634 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 730, 369, 123, 783, 634. So, keep reading to learn more.
Given numbers are 730,369,123,783,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,369,123,783,634 is 7428955230.
Find LCM of 730,369,123,783,634 with Prime Factorization
| 2 | 730, 369, 123, 783, 634 |
| 3 | 365, 369, 123, 783, 317 |
| 3 | 365, 41, 123, 261, 317 |
| 41 | 365, 41, 41, 87, 317 |
| 365, 1, 1, 87, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 365 x 1 x 1 x 87 x 317 = 7428955230
Therefore, the lowest common multiple of 730,369,123,783,634 is 7428955230.
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.
730 x 369 x 123 x 783 x 634 = 16447706879220
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
369 : 1, 3, 9, 41, 123, 369
123 : 1, 3, 41, 123
783 : 1, 3, 9, 27, 29, 87, 261, 783
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,369,123,783,634, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
369:3x 3x 41
123:3x 41
783:3x 3x 3x 29
634:2x 317
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 41 = 2214
Therefore, the value for common factors is 2214.
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 = 16447706879220/(1x2214)
LCM = 16447706879220/2214
LCM = 7428955230
Thus, we can understand that the LCM of 730,369,123,783,634 is 7428955230.
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FAQs on LCM of 730, 369, 123, 783, 634
1. What is the LCM of 730, 369, 123, 783, 634?
Answer: LCM of 730, 369, 123, 783, 634 is 7428955230.
2. How to calculate the LCM of 730, 369, 123, 783, 634?
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 730, 369, 123, 783, 634.
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}.