LCM of 703, 621, 345, 469, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 621, 345, 469, 395 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 703, 621, 345, 469, 395. So, keep reading to learn more.
Given numbers are 703,621,345,469,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,621,345,469,395 is 80875478565.
Find LCM of 703,621,345,469,395 with Prime Factorization
| 3 | 703, 621, 345, 469, 395 |
| 5 | 703, 207, 115, 469, 395 |
| 23 | 703, 207, 23, 469, 79 |
| 703, 9, 1, 469, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 703 x 9 x 1 x 469 x 79 = 80875478565
Therefore, the lowest common multiple of 703,621,345,469,395 is 80875478565.
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.
703 x 621 x 345 x 469 x 395 = 27902040104925
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.
703 : 1, 19, 37, 703
621 : 1, 3, 9, 23, 27, 69, 207, 621
345 : 1, 3, 5, 15, 23, 69, 115, 345
469 : 1, 7, 67, 469
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,621,345,469,395, is 1.
Now, the common factors can be found like this.
703:19x 37
621:3x 3x 3x 23
345:3x 5x 23
469:7x 67
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 27902040104925/(1x345)
LCM = 27902040104925/345
LCM = 80875478565
Thus, we can understand that the LCM of 703,621,345,469,395 is 80875478565.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 621, 345, 469, 395
1. What is the LCM of 703, 621, 345, 469, 395?
Answer: LCM of 703, 621, 345, 469, 395 is 80875478565.
2. How to calculate the LCM of 703, 621, 345, 469, 395?
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 703, 621, 345, 469, 395.
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}.