LCM of 684, 672, 221, 131, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 672, 221, 131, 929 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 684, 672, 221, 131, 929. So, keep reading to learn more.
Given numbers are 684,672,221,131,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,672,221,131,929 is 1030204427616.
Find LCM of 684,672,221,131,929 with Prime Factorization
| 2 | 684, 672, 221, 131, 929 |
| 2 | 342, 336, 221, 131, 929 |
| 3 | 171, 168, 221, 131, 929 |
| 57, 56, 221, 131, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 57 x 56 x 221 x 131 x 929 = 1030204427616
Therefore, the lowest common multiple of 684,672,221,131,929 is 1030204427616.
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.
684 x 672 x 221 x 131 x 929 = 12362453131392
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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
221 : 1, 13, 17, 221
131 : 1, 131
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,672,221,131,929, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
672:2x 2x 2x 2x 2x 3x 7
221:13x 17
131:131
929:929
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 3 = 12
Therefore, the value for common factors is 12.
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 = 12362453131392/(1x12)
LCM = 12362453131392/12
LCM = 1030204427616
Thus, we can understand that the LCM of 684,672,221,131,929 is 1030204427616.
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FAQs on LCM of 684, 672, 221, 131, 929
1. What is the LCM of 684, 672, 221, 131, 929?
Answer: LCM of 684, 672, 221, 131, 929 is 1030204427616.
2. How to calculate the LCM of 684, 672, 221, 131, 929?
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 684, 672, 221, 131, 929.
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}.