LCM of 322, 715, 402, 313, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 715, 402, 313, 286 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, 715, 402, 313, 286. So, keep reading to learn more.
Given numbers are 322,715,402,313,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,715,402,313,286 is 14484459990.
Find LCM of 322,715,402,313,286 with Prime Factorization
| 2 | 322, 715, 402, 313, 286 |
| 11 | 161, 715, 201, 313, 143 |
| 13 | 161, 65, 201, 313, 13 |
| 161, 5, 201, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 161 x 5 x 201 x 313 x 1 = 14484459990
Therefore, the lowest common multiple of 322,715,402,313,286 is 14484459990.
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 715 x 402 x 313 x 286 = 8285111114280
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
402 : 1, 2, 3, 6, 67, 134, 201, 402
313 : 1, 313
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,715,402,313,286, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
715:5x 11x 13
402:2x 3x 67
313:313
286:2x 11x 13
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 8285111114280/(1x572)
LCM = 8285111114280/572
LCM = 14484459990
Thus, we can understand that the LCM of 322,715,402,313,286 is 14484459990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 715, 402, 313, 286
1. What is the LCM of 322, 715, 402, 313, 286?
Answer: LCM of 322, 715, 402, 313, 286 is 14484459990.
2. How to calculate the LCM of 322, 715, 402, 313, 286?
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, 715, 402, 313, 286.
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}.