LCM of 678, 234, 802, 209, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 234, 802, 209, 367 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 678, 234, 802, 209, 367. So, keep reading to learn more.
Given numbers are 678,234,802,209,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,234,802,209,367 is 813300471126.
Find LCM of 678,234,802,209,367 with Prime Factorization
| 2 | 678, 234, 802, 209, 367 |
| 3 | 339, 117, 401, 209, 367 |
| 113, 39, 401, 209, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 113 x 39 x 401 x 209 x 367 = 813300471126
Therefore, the lowest common multiple of 678,234,802,209,367 is 813300471126.
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.
678 x 234 x 802 x 209 x 367 = 9759605653512
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
802 : 1, 2, 401, 802
209 : 1, 11, 19, 209
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,234,802,209,367, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
234:2x 3x 3x 13
802:2x 401
209:11x 19
367:367
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 = 9759605653512/(1x12)
LCM = 9759605653512/12
LCM = 813300471126
Thus, we can understand that the LCM of 678,234,802,209,367 is 813300471126.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 234, 802, 209, 367
1. What is the LCM of 678, 234, 802, 209, 367?
Answer: LCM of 678, 234, 802, 209, 367 is 813300471126.
2. How to calculate the LCM of 678, 234, 802, 209, 367?
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 678, 234, 802, 209, 367.
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}.