LCM of 395, 342, 135, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 342, 135, 840 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 395, 342, 135, 840. So, keep reading to learn more.
Given numbers are 395,342,135,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,342,135,840 is 11347560.
Find LCM of 395,342,135,840 with Prime Factorization
| 2 | 395, 342, 135, 840 |
| 3 | 395, 171, 135, 420 |
| 3 | 395, 57, 45, 140 |
| 5 | 395, 19, 15, 140 |
| 79, 19, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 79 x 19 x 3 x 28 = 11347560
Therefore, the lowest common multiple of 395,342,135,840 is 11347560.
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.
395 x 342 x 135 x 840 = 15319206000
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.
395 : 1, 5, 79, 395
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
135 : 1, 3, 5, 9, 15, 27, 45, 135
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,342,135,840, is 1.
Now, the common factors can be found like this.
395:5x 79
342:2x 3x 3x 19
135:3x 3x 3x 5
840:2x 2x 2x 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 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 15319206000/(1x1350)
LCM = 15319206000/1350
LCM = 11347560
Thus, we can understand that the LCM of 395,342,135,840 is 11347560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 395, 342, 135, 840
1. What is the LCM of 395, 342, 135, 840?
Answer: LCM of 395, 342, 135, 840 is 11347560.
2. How to calculate the LCM of 395, 342, 135, 840?
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 395, 342, 135, 840.
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}.