LCM of 678, 459, 187, 342, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 459, 187, 342, 407 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, 459, 187, 342, 407. So, keep reading to learn more.
Given numbers are 678,459,187,342,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,459,187,342,407 is 802175022.
Find LCM of 678,459,187,342,407 with Prime Factorization
| 2 | 678, 459, 187, 342, 407 |
| 3 | 339, 459, 187, 171, 407 |
| 3 | 113, 153, 187, 57, 407 |
| 11 | 113, 51, 187, 19, 407 |
| 17 | 113, 51, 17, 19, 37 |
| 113, 3, 1, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 113 x 3 x 1 x 19 x 37 = 802175022
Therefore, the lowest common multiple of 678,459,187,342,407 is 802175022.
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 459 x 187 x 342 x 407 = 8100363372156
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
187 : 1, 11, 17, 187
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,459,187,342,407, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
459:3x 3x 3x 17
187:11x 17
342:2x 3x 3x 19
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 17 = 10098
Therefore, the value for common factors is 10098.
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 = 8100363372156/(1x10098)
LCM = 8100363372156/10098
LCM = 802175022
Thus, we can understand that the LCM of 678,459,187,342,407 is 802175022.
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FAQs on LCM of 678, 459, 187, 342, 407
1. What is the LCM of 678, 459, 187, 342, 407?
Answer: LCM of 678, 459, 187, 342, 407 is 802175022.
2. How to calculate the LCM of 678, 459, 187, 342, 407?
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, 459, 187, 342, 407.
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}.