LCM of 206, 869, 329, 742, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 869, 329, 742, 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 206, 869, 329, 742, 334. So, keep reading to learn more.
Given numbers are 206,869,329,742,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,869,329,742,334 is 521285008706.
Find LCM of 206,869,329,742,334 with Prime Factorization
| 2 | 206, 869, 329, 742, 334 |
| 7 | 103, 869, 329, 371, 167 |
| 103, 869, 47, 53, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 103 x 869 x 47 x 53 x 167 = 521285008706
Therefore, the lowest common multiple of 206,869,329,742,334 is 521285008706.
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.
206 x 869 x 329 x 742 x 334 = 14595980243768
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.
206 : 1, 2, 103, 206
869 : 1, 11, 79, 869
329 : 1, 7, 47, 329
742 : 1, 2, 7, 14, 53, 106, 371, 742
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,869,329,742,334, is 1.
Now, the common factors can be found like this.
206:2x 103
869:11x 79
329:7x 47
742:2x 7x 53
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 7 = 28
Therefore, the value for common factors is 28.
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 = 14595980243768/(1x28)
LCM = 14595980243768/28
LCM = 521285008706
Thus, we can understand that the LCM of 206,869,329,742,334 is 521285008706.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 206, 869, 329, 742, 334
1. What is the LCM of 206, 869, 329, 742, 334?
Answer: LCM of 206, 869, 329, 742, 334 is 521285008706.
2. How to calculate the LCM of 206, 869, 329, 742, 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 206, 869, 329, 742, 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}.