LCM of 144, 494, 725, 684, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 494, 725, 684, 716 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 144, 494, 725, 684, 716. So, keep reading to learn more.
Given numbers are 144,494,725,684,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,494,725,684,716 is 4615837200.
Find LCM of 144,494,725,684,716 with Prime Factorization
| 2 | 144, 494, 725, 684, 716 |
| 2 | 72, 247, 725, 342, 358 |
| 3 | 36, 247, 725, 171, 179 |
| 3 | 12, 247, 725, 57, 179 |
| 19 | 4, 247, 725, 19, 179 |
| 4, 13, 725, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 4 x 13 x 725 x 1 x 179 = 4615837200
Therefore, the lowest common multiple of 144,494,725,684,716 is 4615837200.
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.
144 x 494 x 725 x 684 x 716 = 25257861158400
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
494 : 1, 2, 13, 19, 26, 38, 247, 494
725 : 1, 5, 25, 29, 145, 725
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,494,725,684,716, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
494:2x 13x 19
725:5x 5x 29
684:2x 2x 3x 3x 19
716:2x 2x 179
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 25257861158400/(1x5472)
LCM = 25257861158400/5472
LCM = 4615837200
Thus, we can understand that the LCM of 144,494,725,684,716 is 4615837200.
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FAQs on LCM of 144, 494, 725, 684, 716
1. What is the LCM of 144, 494, 725, 684, 716?
Answer: LCM of 144, 494, 725, 684, 716 is 4615837200.
2. How to calculate the LCM of 144, 494, 725, 684, 716?
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 144, 494, 725, 684, 716.
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}.