LCM of 762, 858, 264, 411, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 858, 264, 411, 325 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 762, 858, 264, 411, 325. So, keep reading to learn more.
Given numbers are 762,858,264,411,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,858,264,411,325 is 1492834200.
Find LCM of 762,858,264,411,325 with Prime Factorization
| 2 | 762, 858, 264, 411, 325 |
| 3 | 381, 429, 132, 411, 325 |
| 11 | 127, 143, 44, 137, 325 |
| 13 | 127, 13, 4, 137, 325 |
| 127, 1, 4, 137, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 127 x 1 x 4 x 137 x 25 = 1492834200
Therefore, the lowest common multiple of 762,858,264,411,325 is 1492834200.
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.
762 x 858 x 264 x 411 x 325 = 23055331384800
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
411 : 1, 3, 137, 411
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,858,264,411,325, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
858:2x 3x 11x 13
264:2x 2x 2x 3x 11
411:3x 137
325:5x 5x 13
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 11x 13 = 15444
Therefore, the value for common factors is 15444.
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 = 23055331384800/(1x15444)
LCM = 23055331384800/15444
LCM = 1492834200
Thus, we can understand that the LCM of 762,858,264,411,325 is 1492834200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 762, 858, 264, 411, 325
1. What is the LCM of 762, 858, 264, 411, 325?
Answer: LCM of 762, 858, 264, 411, 325 is 1492834200.
2. How to calculate the LCM of 762, 858, 264, 411, 325?
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 762, 858, 264, 411, 325.
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}.