LCM of 247, 637, 703, 999, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 637, 703, 999, 735 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 247, 637, 703, 999, 735. So, keep reading to learn more.
Given numbers are 247,637,703,999,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,637,703,999,735 is 60454485.
Find LCM of 247,637,703,999,735 with Prime Factorization
| 3 | 247, 637, 703, 999, 735 |
| 7 | 247, 637, 703, 333, 245 |
| 7 | 247, 91, 703, 333, 35 |
| 13 | 247, 13, 703, 333, 5 |
| 19 | 19, 1, 703, 333, 5 |
| 37 | 1, 1, 37, 333, 5 |
| 1, 1, 1, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 13 x 19 x 37 x 1 x 1 x 1 x 9 x 5 = 60454485
Therefore, the lowest common multiple of 247,637,703,999,735 is 60454485.
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.
247 x 637 x 703 x 999 x 735 = 81216550147005
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.
247 : 1, 13, 19, 247
637 : 1, 7, 13, 49, 91, 637
703 : 1, 19, 37, 703
999 : 1, 3, 9, 27, 37, 111, 333, 999
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,637,703,999,735, is 1.
Now, the common factors can be found like this.
247:13x 19
637:7x 7x 13
703:19x 37
999:3x 3x 3x 37
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 13x 19x 37 = 1343433
Therefore, the value for common factors is 1343433.
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 = 81216550147005/(1x1343433)
LCM = 81216550147005/1343433
LCM = 60454485
Thus, we can understand that the LCM of 247,637,703,999,735 is 60454485.
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FAQs on LCM of 247, 637, 703, 999, 735
1. What is the LCM of 247, 637, 703, 999, 735?
Answer: LCM of 247, 637, 703, 999, 735 is 60454485.
2. How to calculate the LCM of 247, 637, 703, 999, 735?
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 247, 637, 703, 999, 735.
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}.