LCM of 637, 882, 646, 136, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 882, 646, 136, 447 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 637, 882, 646, 136, 447. So, keep reading to learn more.
Given numbers are 637,882,646,136,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,882,646,136,447 is 2207296728.
Find LCM of 637,882,646,136,447 with Prime Factorization
| 2 | 637, 882, 646, 136, 447 |
| 3 | 637, 441, 323, 68, 447 |
| 7 | 637, 147, 323, 68, 149 |
| 7 | 91, 21, 323, 68, 149 |
| 17 | 13, 3, 323, 68, 149 |
| 13, 3, 19, 4, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 17 x 13 x 3 x 19 x 4 x 149 = 2207296728
Therefore, the lowest common multiple of 637,882,646,136,447 is 2207296728.
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.
637 x 882 x 646 x 136 x 447 = 22064138093088
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.
637 : 1, 7, 13, 49, 91, 637
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
646 : 1, 2, 17, 19, 34, 38, 323, 646
136 : 1, 2, 4, 8, 17, 34, 68, 136
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,882,646,136,447, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
882:2x 3x 3x 7x 7
646:2x 17x 19
136:2x 2x 2x 17
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 7x 17 = 9996
Therefore, the value for common factors is 9996.
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 = 22064138093088/(1x9996)
LCM = 22064138093088/9996
LCM = 2207296728
Thus, we can understand that the LCM of 637,882,646,136,447 is 2207296728.
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FAQs on LCM of 637, 882, 646, 136, 447
1. What is the LCM of 637, 882, 646, 136, 447?
Answer: LCM of 637, 882, 646, 136, 447 is 2207296728.
2. How to calculate the LCM of 637, 882, 646, 136, 447?
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 637, 882, 646, 136, 447.
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}.