LCM of 322, 730, 735, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 730, 735, 712 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, 730, 735, 712. So, keep reading to learn more.
Given numbers are 322,730,735,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,730,735,712 is 878654280.
Find LCM of 322,730,735,712 with Prime Factorization
| 2 | 322, 730, 735, 712 |
| 5 | 161, 365, 735, 356 |
| 7 | 161, 73, 147, 356 |
| 23, 73, 21, 356 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 23 x 73 x 21 x 356 = 878654280
Therefore, the lowest common multiple of 322,730,735,712 is 878654280.
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 730 x 735 x 712 = 123011599200
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
730 : 1, 2, 5, 10, 73, 146, 365, 730
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,730,735,712, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
730:2x 5x 73
735:3x 5x 7x 7
712:2x 2x 2x 89
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 123011599200/(1x140)
LCM = 123011599200/140
LCM = 878654280
Thus, we can understand that the LCM of 322,730,735,712 is 878654280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 322, 730, 735, 712
1. What is the LCM of 322, 730, 735, 712?
Answer: LCM of 322, 730, 735, 712 is 878654280.
2. How to calculate the LCM of 322, 730, 735, 712?
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, 730, 735, 712.
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}.