LCM of 878, 420, 399, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 420, 399, 105 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 878, 420, 399, 105. So, keep reading to learn more.
Given numbers are 878,420,399,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,420,399,105 is 3503220.
Find LCM of 878,420,399,105 with Prime Factorization
| 2 | 878, 420, 399, 105 |
| 3 | 439, 210, 399, 105 |
| 5 | 439, 70, 133, 35 |
| 7 | 439, 14, 133, 7 |
| 439, 2, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 439 x 2 x 19 x 1 = 3503220
Therefore, the lowest common multiple of 878,420,399,105 is 3503220.
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.
878 x 420 x 399 x 105 = 15449200200
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.
878 : 1, 2, 439, 878
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
399 : 1, 3, 7, 19, 21, 57, 133, 399
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,420,399,105, is 1.
Now, the common factors can be found like this.
878:2x 439
420:2x 2x 3x 5x 7
399:3x 7x 19
105:3x 5x 7
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 5x 7x 7 = 4410
Therefore, the value for common factors is 4410.
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 = 15449200200/(1x4410)
LCM = 15449200200/4410
LCM = 3503220
Thus, we can understand that the LCM of 878,420,399,105 is 3503220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 878, 420, 399, 105
1. What is the LCM of 878, 420, 399, 105?
Answer: LCM of 878, 420, 399, 105 is 3503220.
2. How to calculate the LCM of 878, 420, 399, 105?
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 878, 420, 399, 105.
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}.