LCM of 678, 363, 108, 693, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 363, 108, 693, 546 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, 363, 108, 693, 546. So, keep reading to learn more.
Given numbers are 678,363,108,693,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,363,108,693,546 is 134378244.
Find LCM of 678,363,108,693,546 with Prime Factorization
| 2 | 678, 363, 108, 693, 546 |
| 3 | 339, 363, 54, 693, 273 |
| 3 | 113, 121, 18, 231, 91 |
| 7 | 113, 121, 6, 77, 91 |
| 11 | 113, 121, 6, 11, 13 |
| 113, 1, 6, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 113 x 1 x 6 x 11 x 13 = 134378244
Therefore, the lowest common multiple of 678,363,108,693,546 is 134378244.
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 363 x 108 x 693 x 546 = 10057405293936
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
363 : 1, 3, 11, 33, 121, 363
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,363,108,693,546, is 3.
Now, the common factors can be found like this.
678:2x 3x 113
363:3x 11x 11
108:2x 2x 3x 3x 3
693:3x 3x 7x 11
546:2x 3x 7x 13
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 3x 3x 3x 3x 7x 11 = 24948
Therefore, the value for common factors is 24948.
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 = 10057405293936/(3x24948)
LCM = 10057405293936/74844
LCM = 134378244
Thus, we can understand that the LCM of 678,363,108,693,546 is 134378244.
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FAQs on LCM of 678, 363, 108, 693, 546
1. What is the LCM of 678, 363, 108, 693, 546?
Answer: LCM of 678, 363, 108, 693, 546 is 134378244.
2. How to calculate the LCM of 678, 363, 108, 693, 546?
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, 363, 108, 693, 546.
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}.