LCM of 220, 726, 455, 847, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 726, 455, 847, 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 220, 726, 455, 847, 735. So, keep reading to learn more.
Given numbers are 220,726,455,847,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,726,455,847,735 is 4624620.
Find LCM of 220,726,455,847,735 with Prime Factorization
| 2 | 220, 726, 455, 847, 735 |
| 3 | 110, 363, 455, 847, 735 |
| 5 | 110, 121, 455, 847, 245 |
| 7 | 22, 121, 91, 847, 49 |
| 11 | 22, 121, 13, 121, 7 |
| 11 | 2, 11, 13, 11, 7 |
| 2, 1, 13, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 11 x 2 x 1 x 13 x 1 x 7 = 4624620
Therefore, the lowest common multiple of 220,726,455,847,735 is 4624620.
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.
220 x 726 x 455 x 847 x 735 = 45241963767000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
455 : 1, 5, 7, 13, 35, 65, 91, 455
847 : 1, 7, 11, 77, 121, 847
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 220,726,455,847,735, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
726:2x 3x 11x 11
455:5x 7x 13
847:7x 11x 11
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.
2x 3x 5x 5x 7x 7x 11x 11x 11 = 9782850
Therefore, the value for common factors is 9782850.
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 = 45241963767000/(1x9782850)
LCM = 45241963767000/9782850
LCM = 4624620
Thus, we can understand that the LCM of 220,726,455,847,735 is 4624620.
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FAQs on LCM of 220, 726, 455, 847, 735
1. What is the LCM of 220, 726, 455, 847, 735?
Answer: LCM of 220, 726, 455, 847, 735 is 4624620.
2. How to calculate the LCM of 220, 726, 455, 847, 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 220, 726, 455, 847, 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}.