LCM of 877, 510, 660, 419, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 510, 660, 419, 964 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 877, 510, 660, 419, 964. So, keep reading to learn more.
Given numbers are 877,510,660,419,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,510,660,419,964 is 993627301260.
Find LCM of 877,510,660,419,964 with Prime Factorization
| 2 | 877, 510, 660, 419, 964 |
| 2 | 877, 255, 330, 419, 482 |
| 3 | 877, 255, 165, 419, 241 |
| 5 | 877, 85, 55, 419, 241 |
| 877, 17, 11, 419, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 877 x 17 x 11 x 419 x 241 = 993627301260
Therefore, the lowest common multiple of 877,510,660,419,964 is 993627301260.
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.
877 x 510 x 660 x 419 x 964 = 119235276151200
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.
877 : 1, 877
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
419 : 1, 419
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,510,660,419,964, is 1.
Now, the common factors can be found like this.
877:877
510:2x 3x 5x 17
660:2x 2x 3x 5x 11
419:419
964:2x 2x 241
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 119235276151200/(1x120)
LCM = 119235276151200/120
LCM = 993627301260
Thus, we can understand that the LCM of 877,510,660,419,964 is 993627301260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 877, 510, 660, 419, 964
1. What is the LCM of 877, 510, 660, 419, 964?
Answer: LCM of 877, 510, 660, 419, 964 is 993627301260.
2. How to calculate the LCM of 877, 510, 660, 419, 964?
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 877, 510, 660, 419, 964.
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}.