LCM of 358, 489, 214, 321, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 489, 214, 321, 674 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 358, 489, 214, 321, 674. So, keep reading to learn more.
Given numbers are 358,489,214,321,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,489,214,321,674 is 6312560658.
Find LCM of 358,489,214,321,674 with Prime Factorization
| 2 | 358, 489, 214, 321, 674 |
| 3 | 179, 489, 107, 321, 337 |
| 107 | 179, 163, 107, 107, 337 |
| 179, 163, 1, 1, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 179 x 163 x 1 x 1 x 337 = 6312560658
Therefore, the lowest common multiple of 358,489,214,321,674 is 6312560658.
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.
358 x 489 x 214 x 321 x 674 = 8105327884872
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.
358 : 1, 2, 179, 358
489 : 1, 3, 163, 489
214 : 1, 2, 107, 214
321 : 1, 3, 107, 321
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,489,214,321,674, is 1.
Now, the common factors can be found like this.
358:2x 179
489:3x 163
214:2x 107
321:3x 107
674:2x 337
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 107 = 1284
Therefore, the value for common factors is 1284.
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 = 8105327884872/(1x1284)
LCM = 8105327884872/1284
LCM = 6312560658
Thus, we can understand that the LCM of 358,489,214,321,674 is 6312560658.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 489, 214, 321, 674
1. What is the LCM of 358, 489, 214, 321, 674?
Answer: LCM of 358, 489, 214, 321, 674 is 6312560658.
2. How to calculate the LCM of 358, 489, 214, 321, 674?
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 358, 489, 214, 321, 674.
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}.