LCM of 763, 153, 755, 147, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 153, 755, 147, 829 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, 153, 755, 147, 829. So, keep reading to learn more.
Given numbers are 763,153,755,147,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,153,755,147,829 is 511464494835.
Find LCM of 763,153,755,147,829 with Prime Factorization
| 3 | 763, 153, 755, 147, 829 |
| 7 | 763, 51, 755, 49, 829 |
| 109, 51, 755, 7, 829 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 109 x 51 x 755 x 7 x 829 = 511464494835
Therefore, the lowest common multiple of 763,153,755,147,829 is 511464494835.
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 153 x 755 x 147 x 829 = 10740754391535
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
153 : 1, 3, 9, 17, 51, 153
755 : 1, 5, 151, 755
147 : 1, 3, 7, 21, 49, 147
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,153,755,147,829, is 1.
Now, the common factors can be found like this.
763:7x 109
153:3x 3x 17
755:5x 151
147:3x 7x 7
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 10740754391535/(1x21)
LCM = 10740754391535/21
LCM = 511464494835
Thus, we can understand that the LCM of 763,153,755,147,829 is 511464494835.
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, 153, 755, 147, 829
1. What is the LCM of 763, 153, 755, 147, 829?
Answer: LCM of 763, 153, 755, 147, 829 is 511464494835.
2. How to calculate the LCM of 763, 153, 755, 147, 829?
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, 153, 755, 147, 829.
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}.