Find the LCM of 732, 381, 506, 351, 457 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 732, 381, 506, 351, 457. So, keep reading to learn more.
Given numbers are 732,381,506,351,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,381,506,351,457 is 1257585105348.
Find LCM of 732,381,506,351,457 with Prime Factorization
2 | 732, 381, 506, 351, 457 |
3 | 366, 381, 253, 351, 457 |
122, 127, 253, 117, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 122 x 127 x 253 x 117 x 457 = 1257585105348
Therefore, the lowest common multiple of 732,381,506,351,457 is 1257585105348.
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.
732 x 381 x 506 x 351 x 457 = 22636531896264
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
381 : 1, 3, 127, 381
506 : 1, 2, 11, 22, 23, 46, 253, 506
351 : 1, 3, 9, 13, 27, 39, 117, 351
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,381,506,351,457, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
381:3x 127
506:2x 11x 23
351:3x 3x 3x 13
457:457
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 3 = 18
Therefore, the value for common factors is 18.
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 = 22636531896264/(1x18)
LCM = 22636531896264/18
LCM = 1257585105348
Thus, we can understand that the LCM of 732,381,506,351,457 is 1257585105348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 381, 506, 351, 457?
Answer: LCM of 732, 381, 506, 351, 457 is 1257585105348.
2. How to calculate the LCM of 732, 381, 506, 351, 457?
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 732, 381, 506, 351, 457.
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}.