Find the LCM of 318, 484, 552, 713, 322 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 318, 484, 552, 713, 322. So, keep reading to learn more.
Given numbers are 318,484,552,713,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,484,552,713,322 is 768174792.
Find LCM of 318,484,552,713,322 with Prime Factorization
2 | 318, 484, 552, 713, 322 |
2 | 159, 242, 276, 713, 161 |
3 | 159, 121, 138, 713, 161 |
23 | 53, 121, 46, 713, 161 |
53, 121, 2, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 53 x 121 x 2 x 31 x 7 = 768174792
Therefore, the lowest common multiple of 318,484,552,713,322 is 768174792.
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.
318 x 484 x 552 x 713 x 322 = 19505494318464
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
713 : 1, 23, 31, 713
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,484,552,713,322, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
484:2x 2x 11x 11
552:2x 2x 2x 3x 23
713:23x 31
322:2x 7x 23
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 23x 23 = 25392
Therefore, the value for common factors is 25392.
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 = 19505494318464/(1x25392)
LCM = 19505494318464/25392
LCM = 768174792
Thus, we can understand that the LCM of 318,484,552,713,322 is 768174792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 484, 552, 713, 322?
Answer: LCM of 318, 484, 552, 713, 322 is 768174792.
2. How to calculate the LCM of 318, 484, 552, 713, 322?
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 318, 484, 552, 713, 322.
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}.