Find the LCM of 322, 828, 254, 253, 629 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 322, 828, 254, 253, 629. So, keep reading to learn more.
Given numbers are 322,828,254,253,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,828,254,253,629 is 5093020548.
Find LCM of 322,828,254,253,629 with Prime Factorization
2 | 322, 828, 254, 253, 629 |
23 | 161, 414, 127, 253, 629 |
7, 18, 127, 11, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 7 x 18 x 127 x 11 x 629 = 5093020548
Therefore, the lowest common multiple of 322,828,254,253,629 is 5093020548.
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.
322 x 828 x 254 x 253 x 629 = 10776831479568
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
254 : 1, 2, 127, 254
253 : 1, 11, 23, 253
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,828,254,253,629, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
828:2x 2x 3x 3x 23
254:2x 127
253:11x 23
629:17x 37
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 23x 23 = 2116
Therefore, the value for common factors is 2116.
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 = 10776831479568/(1x2116)
LCM = 10776831479568/2116
LCM = 5093020548
Thus, we can understand that the LCM of 322,828,254,253,629 is 5093020548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 828, 254, 253, 629?
Answer: LCM of 322, 828, 254, 253, 629 is 5093020548.
2. How to calculate the LCM of 322, 828, 254, 253, 629?
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 322, 828, 254, 253, 629.
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}.