LCM of 658, 448, 189, 588, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 448, 189, 588, 678 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 658, 448, 189, 588, 678. So, keep reading to learn more.
Given numbers are 658,448,189,588,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,448,189,588,678 is 449692992.
Find LCM of 658,448,189,588,678 with Prime Factorization
| 2 | 658, 448, 189, 588, 678 |
| 2 | 329, 224, 189, 294, 339 |
| 3 | 329, 112, 189, 147, 339 |
| 7 | 329, 112, 63, 49, 113 |
| 47, 16, 9, 7, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 16 x 9 x 7 x 113 = 449692992
Therefore, the lowest common multiple of 658,448,189,588,678 is 449692992.
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.
658 x 448 x 189 x 588 x 678 = 22211236260864
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
189 : 1, 3, 7, 9, 21, 27, 63, 189
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,448,189,588,678, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
448:2x 2x 2x 2x 2x 2x 7
189:3x 3x 3x 7
588:2x 2x 3x 7x 7
678:2x 3x 113
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 2x 3x 3x 7x 7x 7 = 49392
Therefore, the value for common factors is 49392.
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 = 22211236260864/(1x49392)
LCM = 22211236260864/49392
LCM = 449692992
Thus, we can understand that the LCM of 658,448,189,588,678 is 449692992.
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FAQs on LCM of 658, 448, 189, 588, 678
1. What is the LCM of 658, 448, 189, 588, 678?
Answer: LCM of 658, 448, 189, 588, 678 is 449692992.
2. How to calculate the LCM of 658, 448, 189, 588, 678?
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 658, 448, 189, 588, 678.
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}.