LCM of 852, 434, 840, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 434, 840, 310 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 852, 434, 840, 310. So, keep reading to learn more.
Given numbers are 852,434,840,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,434,840,310 is 1848840.
Find LCM of 852,434,840,310 with Prime Factorization
| 2 | 852, 434, 840, 310 |
| 2 | 426, 217, 420, 155 |
| 3 | 213, 217, 210, 155 |
| 5 | 71, 217, 70, 155 |
| 7 | 71, 217, 14, 31 |
| 31 | 71, 31, 2, 31 |
| 71, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 31 x 71 x 1 x 2 x 1 = 1848840
Therefore, the lowest common multiple of 852,434,840,310 is 1848840.
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.
852 x 434 x 840 x 310 = 96287587200
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
434 : 1, 2, 7, 14, 31, 62, 217, 434
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
310 : 1, 2, 5, 10, 31, 62, 155, 310
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,434,840,310, is 2.
Now, the common factors can be found like this.
852:2x 2x 3x 71
434:2x 7x 31
840:2x 2x 2x 3x 5x 7
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 7x 31 = 26040
Therefore, the value for common factors is 26040.
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 = 96287587200/(2x26040)
LCM = 96287587200/52080
LCM = 1848840
Thus, we can understand that the LCM of 852,434,840,310 is 1848840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 852, 434, 840, 310
1. What is the LCM of 852, 434, 840, 310?
Answer: LCM of 852, 434, 840, 310 is 1848840.
2. How to calculate the LCM of 852, 434, 840, 310?
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 852, 434, 840, 310.
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}.