LCM of 343, 798, 858, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 798, 858, 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 343, 798, 858, 889. So, keep reading to learn more.
Given numbers are 343,798,858,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,798,858,889 is 710131422.
Find LCM of 343,798,858,889 with Prime Factorization
| 2 | 343, 798, 858, 889 |
| 3 | 343, 399, 429, 889 |
| 7 | 343, 133, 143, 889 |
| 49, 19, 143, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 49 x 19 x 143 x 127 = 710131422
Therefore, the lowest common multiple of 343,798,858,889 is 710131422.
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.
343 x 798 x 858 x 889 = 208778638068
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.
343 : 1, 7, 49, 343
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,798,858,889, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
798:2x 3x 7x 19
858:2x 3x 11x 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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 208778638068/(1x294)
LCM = 208778638068/294
LCM = 710131422
Thus, we can understand that the LCM of 343,798,858,889 is 710131422.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 798, 858, 889
1. What is the LCM of 343, 798, 858, 889?
Answer: LCM of 343, 798, 858, 889 is 710131422.
2. How to calculate the LCM of 343, 798, 858, 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 343, 798, 858, 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}.