LCM of 328, 686, 678, 533, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 686, 678, 533, 975 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 328, 686, 678, 533, 975. So, keep reading to learn more.
Given numbers are 328,686,678,533,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,686,678,533,975 is 12395128200.
Find LCM of 328,686,678,533,975 with Prime Factorization
| 2 | 328, 686, 678, 533, 975 |
| 3 | 164, 343, 339, 533, 975 |
| 13 | 164, 343, 113, 533, 325 |
| 41 | 164, 343, 113, 41, 25 |
| 4, 343, 113, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 4 x 343 x 113 x 1 x 25 = 12395128200
Therefore, the lowest common multiple of 328,686,678,533,975 is 12395128200.
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.
328 x 686 x 678 x 533 x 975 = 79279239967200
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
686 : 1, 2, 7, 14, 49, 98, 343, 686
678 : 1, 2, 3, 6, 113, 226, 339, 678
533 : 1, 13, 41, 533
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,686,678,533,975, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
686:2x 7x 7x 7
678:2x 3x 113
533:13x 41
975:3x 5x 5x 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 13x 41 = 6396
Therefore, the value for common factors is 6396.
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 = 79279239967200/(1x6396)
LCM = 79279239967200/6396
LCM = 12395128200
Thus, we can understand that the LCM of 328,686,678,533,975 is 12395128200.
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FAQs on LCM of 328, 686, 678, 533, 975
1. What is the LCM of 328, 686, 678, 533, 975?
Answer: LCM of 328, 686, 678, 533, 975 is 12395128200.
2. How to calculate the LCM of 328, 686, 678, 533, 975?
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 328, 686, 678, 533, 975.
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}.