LCM of 703, 695, 859, 950, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 695, 859, 950, 997 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, 695, 859, 950, 997. So, keep reading to learn more.
Given numbers are 703,695,859,950,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,695,859,950,997 is 4184354314550.
Find LCM of 703,695,859,950,997 with Prime Factorization
| 5 | 703, 695, 859, 950, 997 |
| 19 | 703, 139, 859, 190, 997 |
| 37, 139, 859, 10, 997 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 37 x 139 x 859 x 10 x 997 = 4184354314550
Therefore, the lowest common multiple of 703,695,859,950,997 is 4184354314550.
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 695 x 859 x 950 x 997 = 397513659882250
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
695 : 1, 5, 139, 695
859 : 1, 859
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,695,859,950,997, is 1.
Now, the common factors can be found like this.
703:19x 37
695:5x 139
859:859
950:2x 5x 5x 19
997:997
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 19 = 95
Therefore, the value for common factors is 95.
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 = 397513659882250/(1x95)
LCM = 397513659882250/95
LCM = 4184354314550
Thus, we can understand that the LCM of 703,695,859,950,997 is 4184354314550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 695, 859, 950, 997
1. What is the LCM of 703, 695, 859, 950, 997?
Answer: LCM of 703, 695, 859, 950, 997 is 4184354314550.
2. How to calculate the LCM of 703, 695, 859, 950, 997?
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, 695, 859, 950, 997.
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}.