LCM of 649, 441, 465, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 441, 465, 462 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 649, 441, 465, 462. So, keep reading to learn more.
Given numbers are 649,441,465,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,441,465,462 is 88724790.
Find LCM of 649,441,465,462 with Prime Factorization
| 3 | 649, 441, 465, 462 |
| 7 | 649, 147, 155, 154 |
| 11 | 649, 21, 155, 22 |
| 59, 21, 155, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 59 x 21 x 155 x 2 = 88724790
Therefore, the lowest common multiple of 649,441,465,462 is 88724790.
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.
649 x 441 x 465 x 462 = 61486279470
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.
649 : 1, 11, 59, 649
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
465 : 1, 3, 5, 15, 31, 93, 155, 465
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,441,465,462, is 1.
Now, the common factors can be found like this.
649:11x 59
441:3x 3x 7x 7
465:3x 5x 31
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 61486279470/(1x693)
LCM = 61486279470/693
LCM = 88724790
Thus, we can understand that the LCM of 649,441,465,462 is 88724790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 441, 465, 462
1. What is the LCM of 649, 441, 465, 462?
Answer: LCM of 649, 441, 465, 462 is 88724790.
2. How to calculate the LCM of 649, 441, 465, 462?
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 649, 441, 465, 462.
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}.