LCM of 329, 278, 697, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 278, 697, 442 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 329, 278, 697, 442. So, keep reading to learn more.
Given numbers are 329,278,697,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,278,697,442 is 828737182.
Find LCM of 329,278,697,442 with Prime Factorization
| 2 | 329, 278, 697, 442 |
| 17 | 329, 139, 697, 221 |
| 329, 139, 41, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 329 x 139 x 41 x 13 = 828737182
Therefore, the lowest common multiple of 329,278,697,442 is 828737182.
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.
329 x 278 x 697 x 442 = 28177064188
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.
329 : 1, 7, 47, 329
278 : 1, 2, 139, 278
697 : 1, 17, 41, 697
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,278,697,442, is 1.
Now, the common factors can be found like this.
329:7x 47
278:2x 139
697:17x 41
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 28177064188/(1x34)
LCM = 28177064188/34
LCM = 828737182
Thus, we can understand that the LCM of 329,278,697,442 is 828737182.
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FAQs on LCM of 329, 278, 697, 442
1. What is the LCM of 329, 278, 697, 442?
Answer: LCM of 329, 278, 697, 442 is 828737182.
2. How to calculate the LCM of 329, 278, 697, 442?
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 329, 278, 697, 442.
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}.