LCM of 347, 568, 713, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 568, 713, 496 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 347, 568, 713, 496. So, keep reading to learn more.
Given numbers are 347,568,713,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,568,713,496 is 281058896.
Find LCM of 347,568,713,496 with Prime Factorization
| 2 | 347, 568, 713, 496 |
| 2 | 347, 284, 713, 248 |
| 2 | 347, 142, 713, 124 |
| 31 | 347, 71, 713, 62 |
| 347, 71, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 347 x 71 x 23 x 2 = 281058896
Therefore, the lowest common multiple of 347,568,713,496 is 281058896.
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.
347 x 568 x 713 x 496 = 69702606208
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.
347 : 1, 347
568 : 1, 2, 4, 8, 71, 142, 284, 568
713 : 1, 23, 31, 713
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,568,713,496, is 1.
Now, the common factors can be found like this.
347:347
568:2x 2x 2x 71
713:23x 31
496:2x 2x 2x 2x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 69702606208/(1x248)
LCM = 69702606208/248
LCM = 281058896
Thus, we can understand that the LCM of 347,568,713,496 is 281058896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 568, 713, 496
1. What is the LCM of 347, 568, 713, 496?
Answer: LCM of 347, 568, 713, 496 is 281058896.
2. How to calculate the LCM of 347, 568, 713, 496?
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 347, 568, 713, 496.
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}.