LCM of 906, 329, 188, 672, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 329, 188, 672, 342 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 906, 329, 188, 672, 342. So, keep reading to learn more.
Given numbers are 906,329,188,672,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,329,188,672,342 is 271843488.
Find LCM of 906,329,188,672,342 with Prime Factorization
| 2 | 906, 329, 188, 672, 342 |
| 2 | 453, 329, 94, 336, 171 |
| 3 | 453, 329, 47, 168, 171 |
| 7 | 151, 329, 47, 56, 57 |
| 47 | 151, 47, 47, 8, 57 |
| 151, 1, 1, 8, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 151 x 1 x 1 x 8 x 57 = 271843488
Therefore, the lowest common multiple of 906,329,188,672,342 is 271843488.
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.
906 x 329 x 188 x 672 x 342 = 12878857087488
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
329 : 1, 7, 47, 329
188 : 1, 2, 4, 47, 94, 188
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,329,188,672,342, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
329:7x 47
188:2x 2x 47
672:2x 2x 2x 2x 2x 3x 7
342:2x 3x 3x 19
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 3x 7x 47 = 47376
Therefore, the value for common factors is 47376.
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 = 12878857087488/(1x47376)
LCM = 12878857087488/47376
LCM = 271843488
Thus, we can understand that the LCM of 906,329,188,672,342 is 271843488.
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FAQs on LCM of 906, 329, 188, 672, 342
1. What is the LCM of 906, 329, 188, 672, 342?
Answer: LCM of 906, 329, 188, 672, 342 is 271843488.
2. How to calculate the LCM of 906, 329, 188, 672, 342?
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 906, 329, 188, 672, 342.
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}.