LCM of 705, 395, 349, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 395, 349, 790 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 705, 395, 349, 790. So, keep reading to learn more.
Given numbers are 705,395,349,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,395,349,790 is 38875110.
Find LCM of 705,395,349,790 with Prime Factorization
| 5 | 705, 395, 349, 790 |
| 79 | 141, 79, 349, 158 |
| 141, 1, 349, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 141 x 1 x 349 x 2 = 38875110
Therefore, the lowest common multiple of 705,395,349,790 is 38875110.
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.
705 x 395 x 349 x 790 = 76778342250
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
395 : 1, 5, 79, 395
349 : 1, 349
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,395,349,790, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
395:5x 79
349:349
790:2x 5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 79 = 1975
Therefore, the value for common factors is 1975.
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 = 76778342250/(1x1975)
LCM = 76778342250/1975
LCM = 38875110
Thus, we can understand that the LCM of 705,395,349,790 is 38875110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 395, 349, 790
1. What is the LCM of 705, 395, 349, 790?
Answer: LCM of 705, 395, 349, 790 is 38875110.
2. How to calculate the LCM of 705, 395, 349, 790?
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 705, 395, 349, 790.
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}.