LCM of 591, 352, 841, 400, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 352, 841, 400, 416 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 591, 352, 841, 400, 416. So, keep reading to learn more.
Given numbers are 591,352,841,400,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,352,841,400,416 is 56860346400.
Find LCM of 591,352,841,400,416 with Prime Factorization
| 2 | 591, 352, 841, 400, 416 |
| 2 | 591, 176, 841, 200, 208 |
| 2 | 591, 88, 841, 100, 104 |
| 2 | 591, 44, 841, 50, 52 |
| 2 | 591, 22, 841, 25, 26 |
| 591, 11, 841, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 591 x 11 x 841 x 25 x 13 = 56860346400
Therefore, the lowest common multiple of 591,352,841,400,416 is 56860346400.
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.
591 x 352 x 841 x 400 x 416 = 29112497356800
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.
591 : 1, 3, 197, 591
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
841 : 1, 29, 841
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,352,841,400,416, is 1.
Now, the common factors can be found like this.
591:3x 197
352:2x 2x 2x 2x 2x 11
841:29x 29
400:2x 2x 2x 2x 5x 5
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 29112497356800/(1x512)
LCM = 29112497356800/512
LCM = 56860346400
Thus, we can understand that the LCM of 591,352,841,400,416 is 56860346400.
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FAQs on LCM of 591, 352, 841, 400, 416
1. What is the LCM of 591, 352, 841, 400, 416?
Answer: LCM of 591, 352, 841, 400, 416 is 56860346400.
2. How to calculate the LCM of 591, 352, 841, 400, 416?
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 591, 352, 841, 400, 416.
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}.