LCM of 664, 762, 252, 306, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 762, 252, 306, 646 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 664, 762, 252, 306, 646. So, keep reading to learn more.
Given numbers are 664,762,252,306,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,762,252,306,646 is 1715990472.
Find LCM of 664,762,252,306,646 with Prime Factorization
| 2 | 664, 762, 252, 306, 646 |
| 2 | 332, 381, 126, 153, 323 |
| 3 | 166, 381, 63, 153, 323 |
| 3 | 166, 127, 21, 51, 323 |
| 17 | 166, 127, 7, 17, 323 |
| 166, 127, 7, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 166 x 127 x 7 x 1 x 19 = 1715990472
Therefore, the lowest common multiple of 664,762,252,306,646 is 1715990472.
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.
664 x 762 x 252 x 306 x 646 = 25204468052736
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
762 : 1, 2, 3, 6, 127, 254, 381, 762
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,762,252,306,646, is 2.
Now, the common factors can be found like this.
664:2x 2x 2x 83
762:2x 3x 127
252:2x 2x 3x 3x 7
306:2x 3x 3x 17
646:2x 17x 19
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 2x 2x 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 25204468052736/(2x7344)
LCM = 25204468052736/14688
LCM = 1715990472
Thus, we can understand that the LCM of 664,762,252,306,646 is 1715990472.
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FAQs on LCM of 664, 762, 252, 306, 646
1. What is the LCM of 664, 762, 252, 306, 646?
Answer: LCM of 664, 762, 252, 306, 646 is 1715990472.
2. How to calculate the LCM of 664, 762, 252, 306, 646?
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 664, 762, 252, 306, 646.
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}.