LCM of 418, 591, 648, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 591, 648, 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 418, 591, 648, 972. So, keep reading to learn more.
Given numbers are 418,591,648,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,591,648,972 is 80040312.
Find LCM of 418,591,648,972 with Prime Factorization
| 2 | 418, 591, 648, 972 |
| 2 | 209, 591, 324, 486 |
| 3 | 209, 591, 162, 243 |
| 3 | 209, 197, 54, 81 |
| 3 | 209, 197, 18, 27 |
| 3 | 209, 197, 6, 9 |
| 209, 197, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 209 x 197 x 2 x 3 = 80040312
Therefore, the lowest common multiple of 418,591,648,972 is 80040312.
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.
418 x 591 x 648 x 972 = 155598366528
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
591 : 1, 3, 197, 591
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 418,591,648,972, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
591:3x 197
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 155598366528/(1x1944)
LCM = 155598366528/1944
LCM = 80040312
Thus, we can understand that the LCM of 418,591,648,972 is 80040312.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 591, 648, 972
1. What is the LCM of 418, 591, 648, 972?
Answer: LCM of 418, 591, 648, 972 is 80040312.
2. How to calculate the LCM of 418, 591, 648, 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 418, 591, 648, 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}.