LCM of 879, 231, 642, 357, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 231, 642, 357, 321 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 879, 231, 642, 357, 321. So, keep reading to learn more.
Given numbers are 879,231,642,357,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,231,642,357,321 is 246230754.
Find LCM of 879,231,642,357,321 with Prime Factorization
| 3 | 879, 231, 642, 357, 321 |
| 7 | 293, 77, 214, 119, 107 |
| 107 | 293, 11, 214, 17, 107 |
| 293, 11, 2, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 107 x 293 x 11 x 2 x 17 x 1 = 246230754
Therefore, the lowest common multiple of 879,231,642,357,321 is 246230754.
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.
879 x 231 x 642 x 357 x 321 = 14938573614426
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.
879 : 1, 3, 293, 879
231 : 1, 3, 7, 11, 21, 33, 77, 231
642 : 1, 2, 3, 6, 107, 214, 321, 642
357 : 1, 3, 7, 17, 21, 51, 119, 357
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,231,642,357,321, is 3.
Now, the common factors can be found like this.
879:3x 293
231:3x 7x 11
642:2x 3x 107
357:3x 7x 17
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 107 = 20223
Therefore, the value for common factors is 20223.
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 = 14938573614426/(3x20223)
LCM = 14938573614426/60669
LCM = 246230754
Thus, we can understand that the LCM of 879,231,642,357,321 is 246230754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 879, 231, 642, 357, 321
1. What is the LCM of 879, 231, 642, 357, 321?
Answer: LCM of 879, 231, 642, 357, 321 is 246230754.
2. How to calculate the LCM of 879, 231, 642, 357, 321?
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 879, 231, 642, 357, 321.
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}.