LCM of 623, 962, 397, 306, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 962, 397, 306, 663 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 623, 962, 397, 306, 663. So, keep reading to learn more.
Given numbers are 623,962,397,306,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,962,397,306,663 is 36403660566.
Find LCM of 623,962,397,306,663 with Prime Factorization
| 2 | 623, 962, 397, 306, 663 |
| 3 | 623, 481, 397, 153, 663 |
| 13 | 623, 481, 397, 51, 221 |
| 17 | 623, 37, 397, 51, 17 |
| 623, 37, 397, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 623 x 37 x 397 x 3 x 1 = 36403660566
Therefore, the lowest common multiple of 623,962,397,306,663 is 36403660566.
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.
623 x 962 x 397 x 306 x 663 = 48271253910516
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.
623 : 1, 7, 89, 623
962 : 1, 2, 13, 26, 37, 74, 481, 962
397 : 1, 397
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,962,397,306,663, is 1.
Now, the common factors can be found like this.
623:7x 89
962:2x 13x 37
397:397
306:2x 3x 3x 17
663:3x 13x 17
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 48271253910516/(1x1326)
LCM = 48271253910516/1326
LCM = 36403660566
Thus, we can understand that the LCM of 623,962,397,306,663 is 36403660566.
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FAQs on LCM of 623, 962, 397, 306, 663
1. What is the LCM of 623, 962, 397, 306, 663?
Answer: LCM of 623, 962, 397, 306, 663 is 36403660566.
2. How to calculate the LCM of 623, 962, 397, 306, 663?
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 623, 962, 397, 306, 663.
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}.