Find the LCM of 309, 726, 103, 656 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 309, 726, 103, 656. So, keep reading to learn more.
Given numbers are 309,726,103,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,726,103,656 is 24527184.
Find LCM of 309,726,103,656 with Prime Factorization
2 | 309, 726, 103, 656 |
3 | 309, 363, 103, 328 |
103 | 103, 121, 103, 328 |
1, 121, 1, 328 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 1 x 121 x 1 x 328 = 24527184
Therefore, the lowest common multiple of 309,726,103,656 is 24527184.
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.
309 x 726 x 103 x 656 = 15157799712
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.
309 : 1, 3, 103, 309
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
103 : 1, 103
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,726,103,656, is 1.
Now, the common factors can be found like this.
309:3x 103
726:2x 3x 11x 11
103:103
656:2x 2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 103 = 618
Therefore, the value for common factors is 618.
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 = 15157799712/(1x618)
LCM = 15157799712/618
LCM = 24527184
Thus, we can understand that the LCM of 309,726,103,656 is 24527184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 726, 103, 656?
Answer: LCM of 309, 726, 103, 656 is 24527184.
2. How to calculate the LCM of 309, 726, 103, 656?
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 309, 726, 103, 656.
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}.