Find the LCM of 298, 462, 165, 887, 497 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 298, 462, 165, 887, 497. So, keep reading to learn more.
Given numbers are 298,462,165,887,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,462,165,887,497 is 21676053630.
Find LCM of 298,462,165,887,497 with Prime Factorization
2 | 298, 462, 165, 887, 497 |
3 | 149, 231, 165, 887, 497 |
7 | 149, 77, 55, 887, 497 |
11 | 149, 11, 55, 887, 71 |
149, 1, 5, 887, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 149 x 1 x 5 x 887 x 71 = 21676053630
Therefore, the lowest common multiple of 298,462,165,887,497 is 21676053630.
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.
298 x 462 x 165 x 887 x 497 = 10014336777060
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.
298 : 1, 2, 149, 298
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
165 : 1, 3, 5, 11, 15, 33, 55, 165
887 : 1, 887
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,462,165,887,497, is 1.
Now, the common factors can be found like this.
298:2x 149
462:2x 3x 7x 11
165:3x 5x 11
887:887
497:7x 71
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 10014336777060/(1x462)
LCM = 10014336777060/462
LCM = 21676053630
Thus, we can understand that the LCM of 298,462,165,887,497 is 21676053630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 462, 165, 887, 497?
Answer: LCM of 298, 462, 165, 887, 497 is 21676053630.
2. How to calculate the LCM of 298, 462, 165, 887, 497?
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 298, 462, 165, 887, 497.
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}.