LCM of 341, 730, 149, 826, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 730, 149, 826, 295 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 341, 730, 149, 826, 295. So, keep reading to learn more.
Given numbers are 341,730,149,826,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,730,149,826,295 is 15318405410.
Find LCM of 341,730,149,826,295 with Prime Factorization
| 2 | 341, 730, 149, 826, 295 |
| 5 | 341, 365, 149, 413, 295 |
| 59 | 341, 73, 149, 413, 59 |
| 341, 73, 149, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 341 x 73 x 149 x 7 x 1 = 15318405410
Therefore, the lowest common multiple of 341,730,149,826,295 is 15318405410.
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.
341 x 730 x 149 x 826 x 295 = 9037859191900
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.
341 : 1, 11, 31, 341
730 : 1, 2, 5, 10, 73, 146, 365, 730
149 : 1, 149
826 : 1, 2, 7, 14, 59, 118, 413, 826
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,730,149,826,295, is 1.
Now, the common factors can be found like this.
341:11x 31
730:2x 5x 73
149:149
826:2x 7x 59
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 59 = 590
Therefore, the value for common factors is 590.
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 = 9037859191900/(1x590)
LCM = 9037859191900/590
LCM = 15318405410
Thus, we can understand that the LCM of 341,730,149,826,295 is 15318405410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 730, 149, 826, 295
1. What is the LCM of 341, 730, 149, 826, 295?
Answer: LCM of 341, 730, 149, 826, 295 is 15318405410.
2. How to calculate the LCM of 341, 730, 149, 826, 295?
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 341, 730, 149, 826, 295.
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}.