LCM of 204, 653, 828, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 653, 828, 765 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 204, 653, 828, 765. So, keep reading to learn more.
Given numbers are 204,653,828,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,653,828,765 is 45958140.
Find LCM of 204,653,828,765 with Prime Factorization
| 2 | 204, 653, 828, 765 |
| 2 | 102, 653, 414, 765 |
| 3 | 51, 653, 207, 765 |
| 3 | 17, 653, 69, 255 |
| 17 | 17, 653, 23, 85 |
| 1, 653, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 653 x 23 x 5 = 45958140
Therefore, the lowest common multiple of 204,653,828,765 is 45958140.
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.
204 x 653 x 828 x 765 = 84379145040
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
653 : 1, 653
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,653,828,765, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
653:653
828:2x 2x 3x 3x 23
765:3x 3x 5x 17
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 17 = 1836
Therefore, the value for common factors is 1836.
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 = 84379145040/(1x1836)
LCM = 84379145040/1836
LCM = 45958140
Thus, we can understand that the LCM of 204,653,828,765 is 45958140.
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FAQs on LCM of 204, 653, 828, 765
1. What is the LCM of 204, 653, 828, 765?
Answer: LCM of 204, 653, 828, 765 is 45958140.
2. How to calculate the LCM of 204, 653, 828, 765?
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 204, 653, 828, 765.
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}.