LCM of 278, 323, 442, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 323, 442, 423 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 278, 323, 442, 423. So, keep reading to learn more.
Given numbers are 278,323,442,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,323,442,423 is 493777206.
Find LCM of 278,323,442,423 with Prime Factorization
| 2 | 278, 323, 442, 423 |
| 17 | 139, 323, 221, 423 |
| 139, 19, 13, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 139 x 19 x 13 x 423 = 493777206
Therefore, the lowest common multiple of 278,323,442,423 is 493777206.
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.
278 x 323 x 442 x 423 = 16788425004
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.
278 : 1, 2, 139, 278
323 : 1, 17, 19, 323
442 : 1, 2, 13, 17, 26, 34, 221, 442
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,323,442,423, is 1.
Now, the common factors can be found like this.
278:2x 139
323:17x 19
442:2x 13x 17
423:3x 3x 47
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 = 16788425004/(1x34)
LCM = 16788425004/34
LCM = 493777206
Thus, we can understand that the LCM of 278,323,442,423 is 493777206.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 323, 442, 423
1. What is the LCM of 278, 323, 442, 423?
Answer: LCM of 278, 323, 442, 423 is 493777206.
2. How to calculate the LCM of 278, 323, 442, 423?
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 278, 323, 442, 423.
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}.