LCM of 342, 468, 351, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 468, 351, 889 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 342, 468, 351, 889. So, keep reading to learn more.
Given numbers are 342,468,351,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,468,351,889 is 23714964.
Find LCM of 342,468,351,889 with Prime Factorization
| 2 | 342, 468, 351, 889 |
| 3 | 171, 234, 351, 889 |
| 3 | 57, 78, 117, 889 |
| 13 | 19, 26, 39, 889 |
| 19, 2, 3, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 19 x 2 x 3 x 889 = 23714964
Therefore, the lowest common multiple of 342,468,351,889 is 23714964.
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.
342 x 468 x 351 x 889 = 49943714184
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
351 : 1, 3, 9, 13, 27, 39, 117, 351
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,468,351,889, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
468:2x 2x 3x 3x 13
351:3x 3x 3x 13
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 13 = 2106
Therefore, the value for common factors is 2106.
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 = 49943714184/(1x2106)
LCM = 49943714184/2106
LCM = 23714964
Thus, we can understand that the LCM of 342,468,351,889 is 23714964.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 342, 468, 351, 889
1. What is the LCM of 342, 468, 351, 889?
Answer: LCM of 342, 468, 351, 889 is 23714964.
2. How to calculate the LCM of 342, 468, 351, 889?
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 342, 468, 351, 889.
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}.