Find the LCM of 146, 949, 754, 993, 454 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 146, 949, 754, 993, 454. So, keep reading to learn more.
Given numbers are 146,949,754,993,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,949,754,993,454 is 12407072262.
Find LCM of 146,949,754,993,454 with Prime Factorization
2 | 146, 949, 754, 993, 454 |
13 | 73, 949, 377, 993, 227 |
73 | 73, 73, 29, 993, 227 |
1, 1, 29, 993, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 73 x 1 x 1 x 29 x 993 x 227 = 12407072262
Therefore, the lowest common multiple of 146,949,754,993,454 is 12407072262.
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.
146 x 949 x 754 x 993 x 454 = 47097246306552
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.
146 : 1, 2, 73, 146
949 : 1, 13, 73, 949
754 : 1, 2, 13, 26, 29, 58, 377, 754
993 : 1, 3, 331, 993
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,949,754,993,454, is 1.
Now, the common factors can be found like this.
146:2x 73
949:13x 73
754:2x 13x 29
993:3x 331
454:2x 227
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 13x 73 = 3796
Therefore, the value for common factors is 3796.
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 = 47097246306552/(1x3796)
LCM = 47097246306552/3796
LCM = 12407072262
Thus, we can understand that the LCM of 146,949,754,993,454 is 12407072262.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 949, 754, 993, 454?
Answer: LCM of 146, 949, 754, 993, 454 is 12407072262.
2. How to calculate the LCM of 146, 949, 754, 993, 454?
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 146, 949, 754, 993, 454.
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}.