LCM of 234, 364, 438, 334, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 364, 438, 334, 224 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 234, 364, 438, 334, 224. So, keep reading to learn more.
Given numbers are 234,364,438,334,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,364,438,334,224 is 319501728.
Find LCM of 234,364,438,334,224 with Prime Factorization
| 2 | 234, 364, 438, 334, 224 |
| 2 | 117, 182, 219, 167, 112 |
| 3 | 117, 91, 219, 167, 56 |
| 7 | 39, 91, 73, 167, 56 |
| 13 | 39, 13, 73, 167, 8 |
| 3, 1, 73, 167, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 3 x 1 x 73 x 167 x 8 = 319501728
Therefore, the lowest common multiple of 234,364,438,334,224 is 319501728.
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.
234 x 364 x 438 x 334 x 224 = 2791167095808
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
438 : 1, 2, 3, 6, 73, 146, 219, 438
334 : 1, 2, 167, 334
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,364,438,334,224, is 2.
Now, the common factors can be found like this.
234:2x 3x 3x 13
364:2x 2x 7x 13
438:2x 3x 73
334:2x 167
224:2x 2x 2x 2x 2x 7
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 3x 7x 13 = 4368
Therefore, the value for common factors is 4368.
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 = 2791167095808/(2x4368)
LCM = 2791167095808/8736
LCM = 319501728
Thus, we can understand that the LCM of 234,364,438,334,224 is 319501728.
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FAQs on LCM of 234, 364, 438, 334, 224
1. What is the LCM of 234, 364, 438, 334, 224?
Answer: LCM of 234, 364, 438, 334, 224 is 319501728.
2. How to calculate the LCM of 234, 364, 438, 334, 224?
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 234, 364, 438, 334, 224.
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}.