LCM of 712, 382, 502, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 382, 502, 457 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 712, 382, 502, 457. So, keep reading to learn more.
Given numbers are 712,382,502,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,382,502,457 is 15599234344.
Find LCM of 712,382,502,457 with Prime Factorization
| 2 | 712, 382, 502, 457 |
| 356, 191, 251, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 356 x 191 x 251 x 457 = 15599234344
Therefore, the lowest common multiple of 712,382,502,457 is 15599234344.
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.
712 x 382 x 502 x 457 = 62396937376
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
382 : 1, 2, 191, 382
502 : 1, 2, 251, 502
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,382,502,457, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
382:2x 191
502:2x 251
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 62396937376/(1x4)
LCM = 62396937376/4
LCM = 15599234344
Thus, we can understand that the LCM of 712,382,502,457 is 15599234344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 712, 382, 502, 457
1. What is the LCM of 712, 382, 502, 457?
Answer: LCM of 712, 382, 502, 457 is 15599234344.
2. How to calculate the LCM of 712, 382, 502, 457?
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 712, 382, 502, 457.
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}.