LCM of 616, 468, 591, 572, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 468, 591, 572, 720 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 616, 468, 591, 572, 720. So, keep reading to learn more.
Given numbers are 616,468,591,572,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,468,591,572,720 is 141981840.
Find LCM of 616,468,591,572,720 with Prime Factorization
| 2 | 616, 468, 591, 572, 720 |
| 2 | 308, 234, 591, 286, 360 |
| 2 | 154, 117, 591, 143, 180 |
| 3 | 77, 117, 591, 143, 90 |
| 3 | 77, 39, 197, 143, 30 |
| 11 | 77, 13, 197, 143, 10 |
| 13 | 7, 13, 197, 13, 10 |
| 7, 1, 197, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 13 x 7 x 1 x 197 x 1 x 10 = 141981840
Therefore, the lowest common multiple of 616,468,591,572,720 is 141981840.
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.
616 x 468 x 591 x 572 x 720 = 70168561182720
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
591 : 1, 3, 197, 591
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,468,591,572,720, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
468:2x 2x 3x 3x 13
591:3x 197
572:2x 2x 11x 13
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 3x 11x 13 = 494208
Therefore, the value for common factors is 494208.
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 = 70168561182720/(1x494208)
LCM = 70168561182720/494208
LCM = 141981840
Thus, we can understand that the LCM of 616,468,591,572,720 is 141981840.
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FAQs on LCM of 616, 468, 591, 572, 720
1. What is the LCM of 616, 468, 591, 572, 720?
Answer: LCM of 616, 468, 591, 572, 720 is 141981840.
2. How to calculate the LCM of 616, 468, 591, 572, 720?
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 616, 468, 591, 572, 720.
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}.