Find the LCM of 296, 572, 364, 516, 906 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 296, 572, 364, 516, 906. So, keep reading to learn more.
Given numbers are 296,572,364,516,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,572,364,516,906 is 5771549784.
Find LCM of 296,572,364,516,906 with Prime Factorization
2 | 296, 572, 364, 516, 906 |
2 | 148, 286, 182, 258, 453 |
3 | 74, 143, 91, 129, 453 |
13 | 74, 143, 91, 43, 151 |
74, 11, 7, 43, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 74 x 11 x 7 x 43 x 151 = 5771549784
Therefore, the lowest common multiple of 296,572,364,516,906 is 5771549784.
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.
296 x 572 x 364 x 516 x 906 = 28811576521728
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,572,364,516,906, is 2.
Now, the common factors can be found like this.
296:2x 2x 2x 37
572:2x 2x 11x 13
364:2x 2x 7x 13
516:2x 2x 3x 43
906:2x 3x 151
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 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 28811576521728/(2x2496)
LCM = 28811576521728/4992
LCM = 5771549784
Thus, we can understand that the LCM of 296,572,364,516,906 is 5771549784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 572, 364, 516, 906?
Answer: LCM of 296, 572, 364, 516, 906 is 5771549784.
2. How to calculate the LCM of 296, 572, 364, 516, 906?
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 296, 572, 364, 516, 906.
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}.