LCM of 641, 486, 941, 609, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 486, 941, 609, 324 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 641, 486, 941, 609, 324. So, keep reading to learn more.
Given numbers are 641,486,941,609,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,486,941,609,324 is 119017262196.
Find LCM of 641,486,941,609,324 with Prime Factorization
| 2 | 641, 486, 941, 609, 324 |
| 3 | 641, 243, 941, 609, 162 |
| 3 | 641, 81, 941, 203, 54 |
| 3 | 641, 27, 941, 203, 18 |
| 3 | 641, 9, 941, 203, 6 |
| 641, 3, 941, 203, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 641 x 3 x 941 x 203 x 2 = 119017262196
Therefore, the lowest common multiple of 641,486,941,609,324 is 119017262196.
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.
641 x 486 x 941 x 609 x 324 = 57842389427256
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.
641 : 1, 641
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
941 : 1, 941
609 : 1, 3, 7, 21, 29, 87, 203, 609
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,486,941,609,324, is 1.
Now, the common factors can be found like this.
641:641
486:2x 3x 3x 3x 3x 3
941:941
609:3x 7x 29
324:2x 2x 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 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 57842389427256/(1x486)
LCM = 57842389427256/486
LCM = 119017262196
Thus, we can understand that the LCM of 641,486,941,609,324 is 119017262196.
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FAQs on LCM of 641, 486, 941, 609, 324
1. What is the LCM of 641, 486, 941, 609, 324?
Answer: LCM of 641, 486, 941, 609, 324 is 119017262196.
2. How to calculate the LCM of 641, 486, 941, 609, 324?
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 641, 486, 941, 609, 324.
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}.