LCM of 253, 452, 372, 372, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 452, 372, 372, 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 253, 452, 372, 372, 829. So, keep reading to learn more.
Given numbers are 253,452,372,372,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,452,372,372,829 is 8816504532.
Find LCM of 253,452,372,372,829 with Prime Factorization
| 2 | 253, 452, 372, 372, 829 |
| 2 | 253, 226, 186, 186, 829 |
| 3 | 253, 113, 93, 93, 829 |
| 31 | 253, 113, 31, 31, 829 |
| 253, 113, 1, 1, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 253 x 113 x 1 x 1 x 829 = 8816504532
Therefore, the lowest common multiple of 253,452,372,372,829 is 8816504532.
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.
253 x 452 x 372 x 372 x 829 = 13118958743616
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.
253 : 1, 11, 23, 253
452 : 1, 2, 4, 113, 226, 452
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,452,372,372,829, is 1.
Now, the common factors can be found like this.
253:11x 23
452:2x 2x 113
372:2x 2x 3x 31
372:2x 2x 3x 31
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.
2x 2x 2x 2x 3x 31 = 1488
Therefore, the value for common factors is 1488.
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 = 13118958743616/(1x1488)
LCM = 13118958743616/1488
LCM = 8816504532
Thus, we can understand that the LCM of 253,452,372,372,829 is 8816504532.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 253, 452, 372, 372, 829
1. What is the LCM of 253, 452, 372, 372, 829?
Answer: LCM of 253, 452, 372, 372, 829 is 8816504532.
2. How to calculate the LCM of 253, 452, 372, 372, 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 253, 452, 372, 372, 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}.