LCM of 561, 678, 192, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 678, 192, 418 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 561, 678, 192, 418. So, keep reading to learn more.
Given numbers are 561,678,192,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,678,192,418 is 77085888.
Find LCM of 561,678,192,418 with Prime Factorization
| 2 | 561, 678, 192, 418 |
| 3 | 561, 339, 96, 209 |
| 11 | 187, 113, 32, 209 |
| 17, 113, 32, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 113 x 32 x 19 = 77085888
Therefore, the lowest common multiple of 561,678,192,418 is 77085888.
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.
561 x 678 x 192 x 418 = 30526011648
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
678 : 1, 2, 3, 6, 113, 226, 339, 678
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,678,192,418, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
678:2x 3x 113
192:2x 2x 2x 2x 2x 2x 3
418:2x 11x 19
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 11 = 396
Therefore, the value for common factors is 396.
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 = 30526011648/(1x396)
LCM = 30526011648/396
LCM = 77085888
Thus, we can understand that the LCM of 561,678,192,418 is 77085888.
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FAQs on LCM of 561, 678, 192, 418
1. What is the LCM of 561, 678, 192, 418?
Answer: LCM of 561, 678, 192, 418 is 77085888.
2. How to calculate the LCM of 561, 678, 192, 418?
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 561, 678, 192, 418.
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}.