LCM of 795, 742, 463, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 795, 742, 463, 354 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, 742, 463, 354. So, keep reading to learn more.
Given numbers are 795,742,463,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,742,463,354 is 304038210.
Find LCM of 795,742,463,354 with Prime Factorization
| 2 | 795, 742, 463, 354 |
| 3 | 795, 371, 463, 177 |
| 53 | 265, 371, 463, 59 |
| 5, 7, 463, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 5 x 7 x 463 x 59 = 304038210
Therefore, the lowest common multiple of 795,742,463,354 is 304038210.
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 742 x 463 x 354 = 96684150780
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
463 : 1, 463
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,742,463,354, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
742:2x 7x 53
463:463
354:2x 3x 59
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 53 = 318
Therefore, the value for common factors is 318.
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 = 96684150780/(1x318)
LCM = 96684150780/318
LCM = 304038210
Thus, we can understand that the LCM of 795,742,463,354 is 304038210.
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, 742, 463, 354
1. What is the LCM of 795, 742, 463, 354?
Answer: LCM of 795, 742, 463, 354 is 304038210.
2. How to calculate the LCM of 795, 742, 463, 354?
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, 742, 463, 354.
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}.