LCM of 347, 652, 676, 702, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 652, 676, 702, 892 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, 652, 676, 702, 892. So, keep reading to learn more.
Given numbers are 347,652,676,702,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,652,676,702,892 is 230214355956.
Find LCM of 347,652,676,702,892 with Prime Factorization
| 2 | 347, 652, 676, 702, 892 |
| 2 | 347, 326, 338, 351, 446 |
| 13 | 347, 163, 169, 351, 223 |
| 347, 163, 13, 27, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 347 x 163 x 13 x 27 x 223 = 230214355956
Therefore, the lowest common multiple of 347,652,676,702,892 is 230214355956.
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 652 x 676 x 702 x 892 = 95769172077696
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
652 : 1, 2, 4, 163, 326, 652
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,652,676,702,892, is 1.
Now, the common factors can be found like this.
347:347
652:2x 2x 163
676:2x 2x 13x 13
702:2x 3x 3x 3x 13
892:2x 2x 223
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 95769172077696/(1x416)
LCM = 95769172077696/416
LCM = 230214355956
Thus, we can understand that the LCM of 347,652,676,702,892 is 230214355956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 652, 676, 702, 892
1. What is the LCM of 347, 652, 676, 702, 892?
Answer: LCM of 347, 652, 676, 702, 892 is 230214355956.
2. How to calculate the LCM of 347, 652, 676, 702, 892?
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, 652, 676, 702, 892.
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}.