LCM of 878, 945, 596, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 945, 596, 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, 945, 596, 105. So, keep reading to learn more.
Given numbers are 878,945,596,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,945,596,105 is 247253580.
Find LCM of 878,945,596,105 with Prime Factorization
| 2 | 878, 945, 596, 105 |
| 3 | 439, 945, 298, 105 |
| 5 | 439, 315, 298, 35 |
| 7 | 439, 63, 298, 7 |
| 439, 9, 298, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 439 x 9 x 298 x 1 = 247253580
Therefore, the lowest common multiple of 878,945,596,105 is 247253580.
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 945 x 596 x 105 = 51923251800
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
596 : 1, 2, 4, 149, 298, 596
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 878,945,596,105, is 1.
Now, the common factors can be found like this.
878:2x 439
945:3x 3x 3x 5x 7
596:2x 2x 149
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 51923251800/(1x210)
LCM = 51923251800/210
LCM = 247253580
Thus, we can understand that the LCM of 878,945,596,105 is 247253580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 878, 945, 596, 105
1. What is the LCM of 878, 945, 596, 105?
Answer: LCM of 878, 945, 596, 105 is 247253580.
2. How to calculate the LCM of 878, 945, 596, 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, 945, 596, 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}.