Find the LCM of 133, 431, 957, 564, 368 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 133, 431, 957, 564, 368. So, keep reading to learn more.
Given numbers are 133,431,957,564,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,431,957,564,368 is 948825887856.
Find LCM of 133,431,957,564,368 with Prime Factorization
2 | 133, 431, 957, 564, 368 |
2 | 133, 431, 957, 282, 184 |
3 | 133, 431, 957, 141, 92 |
133, 431, 319, 47, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 133 x 431 x 319 x 47 x 92 = 948825887856
Therefore, the lowest common multiple of 133,431,957,564,368 is 948825887856.
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.
133 x 431 x 957 x 564 x 368 = 11385910654272
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.
133 : 1, 7, 19, 133
431 : 1, 431
957 : 1, 3, 11, 29, 33, 87, 319, 957
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,431,957,564,368, is 1.
Now, the common factors can be found like this.
133:7x 19
431:431
957:3x 11x 29
564:2x 2x 3x 47
368:2x 2x 2x 2x 23
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 3 = 12
Therefore, the value for common factors is 12.
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 = 11385910654272/(1x12)
LCM = 11385910654272/12
LCM = 948825887856
Thus, we can understand that the LCM of 133,431,957,564,368 is 948825887856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 431, 957, 564, 368?
Answer: LCM of 133, 431, 957, 564, 368 is 948825887856.
2. How to calculate the LCM of 133, 431, 957, 564, 368?
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 133, 431, 957, 564, 368.
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}.