Find the LCM of 747, 121, 415, 141 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 747, 121, 415, 141. So, keep reading to learn more.
Given numbers are 747,121,415,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,121,415,141 is 21240945.
Find LCM of 747,121,415,141 with Prime Factorization
3 | 747, 121, 415, 141 |
83 | 249, 121, 415, 47 |
3, 121, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 83 x 3 x 121 x 5 x 47 = 21240945
Therefore, the lowest common multiple of 747,121,415,141 is 21240945.
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.
747 x 121 x 415 x 141 = 5288995305
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.
747 : 1, 3, 9, 83, 249, 747
121 : 1, 11, 121
415 : 1, 5, 83, 415
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,121,415,141, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
121:11x 11
415:5x 83
141:3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 83 = 249
Therefore, the value for common factors is 249.
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 = 5288995305/(1x249)
LCM = 5288995305/249
LCM = 21240945
Thus, we can understand that the LCM of 747,121,415,141 is 21240945.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 121, 415, 141?
Answer: LCM of 747, 121, 415, 141 is 21240945.
2. How to calculate the LCM of 747, 121, 415, 141?
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 747, 121, 415, 141.
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}.