LCM of 648, 486, 644, 554, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 486, 644, 554, 456 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 648, 486, 644, 554, 456. So, keep reading to learn more.
Given numbers are 648,486,644,554,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,486,644,554,456 is 1647234792.
Find LCM of 648,486,644,554,456 with Prime Factorization
| 2 | 648, 486, 644, 554, 456 |
| 2 | 324, 243, 322, 277, 228 |
| 2 | 162, 243, 161, 277, 114 |
| 3 | 81, 243, 161, 277, 57 |
| 3 | 27, 81, 161, 277, 19 |
| 3 | 9, 27, 161, 277, 19 |
| 3 | 3, 9, 161, 277, 19 |
| 1, 3, 161, 277, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 1 x 3 x 161 x 277 x 19 = 1647234792
Therefore, the lowest common multiple of 648,486,644,554,456 is 1647234792.
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.
648 x 486 x 644 x 554 x 456 = 51235590970368
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
554 : 1, 2, 277, 554
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,486,644,554,456, is 2.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
486:2x 3x 3x 3x 3x 3
644:2x 2x 7x 23
554:2x 277
456:2x 2x 2x 3x 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 2x 2x 3x 3x 3x 3x 3 = 15552
Therefore, the value for common factors is 15552.
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 = 51235590970368/(2x15552)
LCM = 51235590970368/31104
LCM = 1647234792
Thus, we can understand that the LCM of 648,486,644,554,456 is 1647234792.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 648, 486, 644, 554, 456
1. What is the LCM of 648, 486, 644, 554, 456?
Answer: LCM of 648, 486, 644, 554, 456 is 1647234792.
2. How to calculate the LCM of 648, 486, 644, 554, 456?
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 648, 486, 644, 554, 456.
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}.