LCM of 721, 896, 668, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 896, 668, 334 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 721, 896, 668, 334. So, keep reading to learn more.
Given numbers are 721,896,668,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,896,668,334 is 15412096.
Find LCM of 721,896,668,334 with Prime Factorization
| 2 | 721, 896, 668, 334 |
| 2 | 721, 448, 334, 167 |
| 7 | 721, 224, 167, 167 |
| 167 | 103, 32, 167, 167 |
| 103, 32, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 167 x 103 x 32 x 1 x 1 = 15412096
Therefore, the lowest common multiple of 721,896,668,334 is 15412096.
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.
721 x 896 x 668 x 334 = 144133921792
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.
721 : 1, 7, 103, 721
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
668 : 1, 2, 4, 167, 334, 668
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,896,668,334, is 1.
Now, the common factors can be found like this.
721:7x 103
896:2x 2x 2x 2x 2x 2x 2x 7
668:2x 2x 167
334:2x 167
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 7x 167 = 9352
Therefore, the value for common factors is 9352.
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 = 144133921792/(1x9352)
LCM = 144133921792/9352
LCM = 15412096
Thus, we can understand that the LCM of 721,896,668,334 is 15412096.
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FAQs on LCM of 721, 896, 668, 334
1. What is the LCM of 721, 896, 668, 334?
Answer: LCM of 721, 896, 668, 334 is 15412096.
2. How to calculate the LCM of 721, 896, 668, 334?
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 721, 896, 668, 334.
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}.