LCM of 468, 298, 366, 172, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 298, 366, 172, 144 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 468, 298, 366, 172, 144. So, keep reading to learn more.
Given numbers are 468,298,366,172,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,298,366,172,144 is 731628144.
Find LCM of 468,298,366,172,144 with Prime Factorization
| 2 | 468, 298, 366, 172, 144 |
| 2 | 234, 149, 183, 86, 72 |
| 3 | 117, 149, 183, 43, 36 |
| 3 | 39, 149, 61, 43, 12 |
| 13, 149, 61, 43, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 149 x 61 x 43 x 4 = 731628144
Therefore, the lowest common multiple of 468,298,366,172,144 is 731628144.
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.
468 x 298 x 366 x 172 x 144 = 1264253432832
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
298 : 1, 2, 149, 298
366 : 1, 2, 3, 6, 61, 122, 183, 366
172 : 1, 2, 4, 43, 86, 172
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,298,366,172,144, is 2.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
298:2x 149
366:2x 3x 61
172:2x 2x 43
144:2x 2x 2x 2x 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 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 1264253432832/(2x864)
LCM = 1264253432832/1728
LCM = 731628144
Thus, we can understand that the LCM of 468,298,366,172,144 is 731628144.
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FAQs on LCM of 468, 298, 366, 172, 144
1. What is the LCM of 468, 298, 366, 172, 144?
Answer: LCM of 468, 298, 366, 172, 144 is 731628144.
2. How to calculate the LCM of 468, 298, 366, 172, 144?
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 468, 298, 366, 172, 144.
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}.