Find the LCM of 349, 650, 741, 726, 264 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 349, 650, 741, 726, 264. So, keep reading to learn more.
Given numbers are 349,650,741,726,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,650,741,726,264 is 6258337800.
Find LCM of 349,650,741,726,264 with Prime Factorization
2 | 349, 650, 741, 726, 264 |
3 | 349, 325, 741, 363, 132 |
11 | 349, 325, 247, 121, 44 |
13 | 349, 325, 247, 11, 4 |
349, 25, 19, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 349 x 25 x 19 x 11 x 4 = 6258337800
Therefore, the lowest common multiple of 349,650,741,726,264 is 6258337800.
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.
349 x 650 x 741 x 726 x 264 = 32217922994400
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.
349 : 1, 349
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
741 : 1, 3, 13, 19, 39, 57, 247, 741
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,650,741,726,264, is 1.
Now, the common factors can be found like this.
349:349
650:2x 5x 5x 13
741:3x 13x 19
726:2x 3x 11x 11
264:2x 2x 2x 3x 11
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 3x 11x 13 = 5148
Therefore, the value for common factors is 5148.
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 = 32217922994400/(1x5148)
LCM = 32217922994400/5148
LCM = 6258337800
Thus, we can understand that the LCM of 349,650,741,726,264 is 6258337800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 650, 741, 726, 264?
Answer: LCM of 349, 650, 741, 726, 264 is 6258337800.
2. How to calculate the LCM of 349, 650, 741, 726, 264?
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 349, 650, 741, 726, 264.
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}.