LCM of 678, 378, 567, 966, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 378, 567, 966, 542 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, 378, 567, 966, 542. So, keep reading to learn more.
Given numbers are 678,378,567,966,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,378,567,966,542 is 798709086.
Find LCM of 678,378,567,966,542 with Prime Factorization
| 2 | 678, 378, 567, 966, 542 |
| 3 | 339, 189, 567, 483, 271 |
| 3 | 113, 63, 189, 161, 271 |
| 3 | 113, 21, 63, 161, 271 |
| 7 | 113, 7, 21, 161, 271 |
| 113, 1, 3, 23, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 113 x 1 x 3 x 23 x 271 = 798709086
Therefore, the lowest common multiple of 678,378,567,966,542 is 798709086.
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 378 x 567 x 966 x 542 = 76081832696016
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,378,567,966,542, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
378:2x 3x 3x 3x 7
567:3x 3x 3x 3x 7
966:2x 3x 7x 23
542:2x 271
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 3x 3x 3x 3x 3x 7x 7 = 95256
Therefore, the value for common factors is 95256.
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 = 76081832696016/(1x95256)
LCM = 76081832696016/95256
LCM = 798709086
Thus, we can understand that the LCM of 678,378,567,966,542 is 798709086.
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FAQs on LCM of 678, 378, 567, 966, 542
1. What is the LCM of 678, 378, 567, 966, 542?
Answer: LCM of 678, 378, 567, 966, 542 is 798709086.
2. How to calculate the LCM of 678, 378, 567, 966, 542?
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, 378, 567, 966, 542.
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}.