LCM of 3, 428, 321, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3, 428, 321, 869 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 3, 428, 321, 869. So, keep reading to learn more.
Given numbers are 3,428,321,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,428,321,869 is 1115796.
Find LCM of 3,428,321,869 with Prime Factorization
| 3 | 3, 428, 321, 869 |
| 107 | 1, 428, 107, 869 |
| 1, 4, 1, 869 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 1 x 4 x 1 x 869 = 1115796
Therefore, the lowest common multiple of 3,428,321,869 is 1115796.
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.
3 x 428 x 321 x 869 = 358170516
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.
3 : 1, 3
428 : 1, 2, 4, 107, 214, 428
321 : 1, 3, 107, 321
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,428,321,869, is 1.
Now, the common factors can be found like this.
3:3
428:2x 2x 107
321:3x 107
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 107 = 321
Therefore, the value for common factors is 321.
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 = 358170516/(1x321)
LCM = 358170516/321
LCM = 1115796
Thus, we can understand that the LCM of 3,428,321,869 is 1115796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3, 428, 321, 869
1. What is the LCM of 3, 428, 321, 869?
Answer: LCM of 3, 428, 321, 869 is 1115796.
2. How to calculate the LCM of 3, 428, 321, 869?
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 3, 428, 321, 869.
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}.