Find the LCM of 347, 726, 364, 198, 749 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, 726, 364, 198, 749. So, keep reading to learn more.
Given numbers are 347,726,364,198,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,726,364,198,749 is 14717787084.
Find LCM of 347,726,364,198,749 with Prime Factorization
2 | 347, 726, 364, 198, 749 |
3 | 347, 363, 182, 99, 749 |
7 | 347, 121, 182, 33, 749 |
11 | 347, 121, 26, 33, 107 |
347, 11, 26, 3, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 347 x 11 x 26 x 3 x 107 = 14717787084
Therefore, the lowest common multiple of 347,726,364,198,749 is 14717787084.
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 726 x 364 x 198 x 749 = 13599235265616
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,726,364,198,749, is 1.
Now, the common factors can be found like this.
347:347
726:2x 3x 11x 11
364:2x 2x 7x 13
198:2x 3x 3x 11
749:7x 107
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 13599235265616/(1x924)
LCM = 13599235265616/924
LCM = 14717787084
Thus, we can understand that the LCM of 347,726,364,198,749 is 14717787084.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 726, 364, 198, 749?
Answer: LCM of 347, 726, 364, 198, 749 is 14717787084.
2. How to calculate the LCM of 347, 726, 364, 198, 749?
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, 726, 364, 198, 749.
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}.