LCM of 795, 306, 588, 135, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 306, 588, 135, 942 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 795, 306, 588, 135, 942. So, keep reading to learn more.
Given numbers are 795,306,588,135,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,306,588,135,942 is 3742952220.
Find LCM of 795,306,588,135,942 with Prime Factorization
| 2 | 795, 306, 588, 135, 942 |
| 3 | 795, 153, 294, 135, 471 |
| 3 | 265, 51, 98, 45, 157 |
| 5 | 265, 17, 98, 15, 157 |
| 53, 17, 98, 3, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 53 x 17 x 98 x 3 x 157 = 3742952220
Therefore, the lowest common multiple of 795,306,588,135,942 is 3742952220.
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.
795 x 306 x 588 x 135 x 942 = 18190747789200
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
135 : 1, 3, 5, 9, 15, 27, 45, 135
942 : 1, 2, 3, 6, 157, 314, 471, 942
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,306,588,135,942, is 3.
Now, the common factors can be found like this.
795:3x 5x 53
306:2x 3x 3x 17
588:2x 2x 3x 7x 7
135:3x 3x 3x 5
942:2x 3x 157
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 18190747789200/(3x1620)
LCM = 18190747789200/4860
LCM = 3742952220
Thus, we can understand that the LCM of 795,306,588,135,942 is 3742952220.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 795, 306, 588, 135, 942
1. What is the LCM of 795, 306, 588, 135, 942?
Answer: LCM of 795, 306, 588, 135, 942 is 3742952220.
2. How to calculate the LCM of 795, 306, 588, 135, 942?
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 795, 306, 588, 135, 942.
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}.