LCM of 606, 546, 303, 658, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 546, 303, 658, 721 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 606, 546, 303, 658, 721. So, keep reading to learn more.
Given numbers are 606,546,303,658,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,546,303,658,721 is 266961786.
Find LCM of 606,546,303,658,721 with Prime Factorization
| 2 | 606, 546, 303, 658, 721 |
| 3 | 303, 273, 303, 329, 721 |
| 7 | 101, 91, 101, 329, 721 |
| 101 | 101, 13, 101, 47, 103 |
| 1, 13, 1, 47, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 101 x 1 x 13 x 1 x 47 x 103 = 266961786
Therefore, the lowest common multiple of 606,546,303,658,721 is 266961786.
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.
606 x 546 x 303 x 658 x 721 = 47562979640904
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
303 : 1, 3, 101, 303
658 : 1, 2, 7, 14, 47, 94, 329, 658
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,546,303,658,721, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
546:2x 3x 7x 13
303:3x 101
658:2x 7x 47
721:7x 103
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 3x 7x 7x 101 = 178164
Therefore, the value for common factors is 178164.
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 = 47562979640904/(1x178164)
LCM = 47562979640904/178164
LCM = 266961786
Thus, we can understand that the LCM of 606,546,303,658,721 is 266961786.
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FAQs on LCM of 606, 546, 303, 658, 721
1. What is the LCM of 606, 546, 303, 658, 721?
Answer: LCM of 606, 546, 303, 658, 721 is 266961786.
2. How to calculate the LCM of 606, 546, 303, 658, 721?
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 606, 546, 303, 658, 721.
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}.