LCM of 229, 407, 132, 185, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 407, 132, 185, 480 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 229, 407, 132, 185, 480. So, keep reading to learn more.
Given numbers are 229,407,132,185,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,407,132,185,480 is 44737440.
Find LCM of 229,407,132,185,480 with Prime Factorization
| 2 | 229, 407, 132, 185, 480 |
| 2 | 229, 407, 66, 185, 240 |
| 3 | 229, 407, 33, 185, 120 |
| 5 | 229, 407, 11, 185, 40 |
| 11 | 229, 407, 11, 37, 8 |
| 37 | 229, 37, 1, 37, 8 |
| 229, 1, 1, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 37 x 229 x 1 x 1 x 1 x 8 = 44737440
Therefore, the lowest common multiple of 229,407,132,185,480 is 44737440.
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.
229 x 407 x 132 x 185 x 480 = 1092488284800
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.
229 : 1, 229
407 : 1, 11, 37, 407
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
185 : 1, 5, 37, 185
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,407,132,185,480, is 1.
Now, the common factors can be found like this.
229:229
407:11x 37
132:2x 2x 3x 11
185:5x 37
480:2x 2x 2x 2x 2x 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 3x 5x 11x 37 = 24420
Therefore, the value for common factors is 24420.
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 = 1092488284800/(1x24420)
LCM = 1092488284800/24420
LCM = 44737440
Thus, we can understand that the LCM of 229,407,132,185,480 is 44737440.
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FAQs on LCM of 229, 407, 132, 185, 480
1. What is the LCM of 229, 407, 132, 185, 480?
Answer: LCM of 229, 407, 132, 185, 480 is 44737440.
2. How to calculate the LCM of 229, 407, 132, 185, 480?
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 229, 407, 132, 185, 480.
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}.