LCM of 763, 717, 429, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 717, 429, 462 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 763, 717, 429, 462. So, keep reading to learn more.
Given numbers are 763,717,429,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,717,429,462 is 156462306.
Find LCM of 763,717,429,462 with Prime Factorization
| 3 | 763, 717, 429, 462 |
| 7 | 763, 239, 143, 154 |
| 11 | 109, 239, 143, 22 |
| 109, 239, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 109 x 239 x 13 x 2 = 156462306
Therefore, the lowest common multiple of 763,717,429,462 is 156462306.
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.
763 x 717 x 429 x 462 = 108428378058
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.
763 : 1, 7, 109, 763
717 : 1, 3, 239, 717
429 : 1, 3, 11, 13, 33, 39, 143, 429
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,717,429,462, is 1.
Now, the common factors can be found like this.
763:7x 109
717:3x 239
429:3x 11x 13
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 108428378058/(1x693)
LCM = 108428378058/693
LCM = 156462306
Thus, we can understand that the LCM of 763,717,429,462 is 156462306.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 763, 717, 429, 462
1. What is the LCM of 763, 717, 429, 462?
Answer: LCM of 763, 717, 429, 462 is 156462306.
2. How to calculate the LCM of 763, 717, 429, 462?
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 763, 717, 429, 462.
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}.