LCM of 753, 287, 462, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 287, 462, 777 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 753, 287, 462, 777. So, keep reading to learn more.
Given numbers are 753,287,462,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,287,462,777 is 175914354.
Find LCM of 753,287,462,777 with Prime Factorization
| 3 | 753, 287, 462, 777 |
| 7 | 251, 287, 154, 259 |
| 251, 41, 22, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 251 x 41 x 22 x 37 = 175914354
Therefore, the lowest common multiple of 753,287,462,777 is 175914354.
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.
753 x 287 x 462 x 777 = 77578230114
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.
753 : 1, 3, 251, 753
287 : 1, 7, 41, 287
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,287,462,777, is 1.
Now, the common factors can be found like this.
753:3x 251
287:7x 41
462:2x 3x 7x 11
777:3x 7x 37
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 7 = 441
Therefore, the value for common factors is 441.
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 = 77578230114/(1x441)
LCM = 77578230114/441
LCM = 175914354
Thus, we can understand that the LCM of 753,287,462,777 is 175914354.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 753, 287, 462, 777
1. What is the LCM of 753, 287, 462, 777?
Answer: LCM of 753, 287, 462, 777 is 175914354.
2. How to calculate the LCM of 753, 287, 462, 777?
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 753, 287, 462, 777.
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}.