LCM of 703, 420, 247, 847, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 420, 247, 847, 283 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, 420, 247, 847, 283. So, keep reading to learn more.
Given numbers are 703,420,247,847,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,420,247,847,283 is 131437646340.
Find LCM of 703,420,247,847,283 with Prime Factorization
| 7 | 703, 420, 247, 847, 283 |
| 19 | 703, 60, 247, 121, 283 |
| 37, 60, 13, 121, 283 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 37 x 60 x 13 x 121 x 283 = 131437646340
Therefore, the lowest common multiple of 703,420,247,847,283 is 131437646340.
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 420 x 247 x 847 x 283 = 17481206963220
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
247 : 1, 13, 19, 247
847 : 1, 7, 11, 77, 121, 847
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,420,247,847,283, is 1.
Now, the common factors can be found like this.
703:19x 37
420:2x 2x 3x 5x 7
247:13x 19
847:7x 11x 11
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 17481206963220/(1x133)
LCM = 17481206963220/133
LCM = 131437646340
Thus, we can understand that the LCM of 703,420,247,847,283 is 131437646340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 703, 420, 247, 847, 283
1. What is the LCM of 703, 420, 247, 847, 283?
Answer: LCM of 703, 420, 247, 847, 283 is 131437646340.
2. How to calculate the LCM of 703, 420, 247, 847, 283?
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, 420, 247, 847, 283.
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}.