Find the LCM of 305, 124, 807, 538, 744 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 305, 124, 807, 538, 744. So, keep reading to learn more.
Given numbers are 305,124,807,538,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,124,807,538,744 is 61041480.
Find LCM of 305,124,807,538,744 with Prime Factorization
2 | 305, 124, 807, 538, 744 |
2 | 305, 62, 807, 269, 372 |
3 | 305, 31, 807, 269, 186 |
31 | 305, 31, 269, 269, 62 |
269 | 305, 1, 269, 269, 2 |
305, 1, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 269 x 305 x 1 x 1 x 1 x 2 = 61041480
Therefore, the lowest common multiple of 305,124,807,538,744 is 61041480.
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.
305 x 124 x 807 x 538 x 744 = 12216597641280
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.
305 : 1, 5, 61, 305
124 : 1, 2, 4, 31, 62, 124
807 : 1, 3, 269, 807
538 : 1, 2, 269, 538
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,124,807,538,744, is 1.
Now, the common factors can be found like this.
305:5x 61
124:2x 2x 31
807:3x 269
538:2x 269
744:2x 2x 2x 3x 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 3x 31x 269 = 200136
Therefore, the value for common factors is 200136.
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 = 12216597641280/(1x200136)
LCM = 12216597641280/200136
LCM = 61041480
Thus, we can understand that the LCM of 305,124,807,538,744 is 61041480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 124, 807, 538, 744?
Answer: LCM of 305, 124, 807, 538, 744 is 61041480.
2. How to calculate the LCM of 305, 124, 807, 538, 744?
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 305, 124, 807, 538, 744.
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}.