LCM of 419, 414, 899, 219, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 414, 899, 219, 972 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 419, 414, 899, 219, 972. So, keep reading to learn more.
Given numbers are 419,414,899,219,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,414,899,219,972 is 614738871828.
Find LCM of 419,414,899,219,972 with Prime Factorization
| 2 | 419, 414, 899, 219, 972 |
| 3 | 419, 207, 899, 219, 486 |
| 3 | 419, 69, 899, 73, 162 |
| 419, 23, 899, 73, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 419 x 23 x 899 x 73 x 54 = 614738871828
Therefore, the lowest common multiple of 419,414,899,219,972 is 614738871828.
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.
419 x 414 x 899 x 219 x 972 = 33195899078712
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.
419 : 1, 419
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
899 : 1, 29, 31, 899
219 : 1, 3, 73, 219
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,414,899,219,972, is 1.
Now, the common factors can be found like this.
419:419
414:2x 3x 3x 23
899:29x 31
219:3x 73
972:2x 2x 3x 3x 3x 3x 3
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 33195899078712/(1x54)
LCM = 33195899078712/54
LCM = 614738871828
Thus, we can understand that the LCM of 419,414,899,219,972 is 614738871828.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 419, 414, 899, 219, 972
1. What is the LCM of 419, 414, 899, 219, 972?
Answer: LCM of 419, 414, 899, 219, 972 is 614738871828.
2. How to calculate the LCM of 419, 414, 899, 219, 972?
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 419, 414, 899, 219, 972.
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}.