LCM of 3, 969, 893, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3, 969, 893, 414 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, 969, 893, 414. So, keep reading to learn more.
Given numbers are 3,969,893,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,969,893,414 is 6284934.
Find LCM of 3,969,893,414 with Prime Factorization
| 3 | 3, 969, 893, 414 |
| 19 | 1, 323, 893, 138 |
| 1, 17, 47, 138 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 1 x 17 x 47 x 138 = 6284934
Therefore, the lowest common multiple of 3,969,893,414 is 6284934.
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 969 x 893 x 414 = 1074723714
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
893 : 1, 19, 47, 893
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,969,893,414, is 1.
Now, the common factors can be found like this.
3:3
969:3x 17x 19
893:19x 47
414:2x 3x 3x 23
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 19 = 171
Therefore, the value for common factors is 171.
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 = 1074723714/(1x171)
LCM = 1074723714/171
LCM = 6284934
Thus, we can understand that the LCM of 3,969,893,414 is 6284934.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 3, 969, 893, 414
1. What is the LCM of 3, 969, 893, 414?
Answer: LCM of 3, 969, 893, 414 is 6284934.
2. How to calculate the LCM of 3, 969, 893, 414?
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, 969, 893, 414.
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}.