Find the LCM of 547, 264, 874, 907, 178 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 547, 264, 874, 907, 178. So, keep reading to learn more.
Given numbers are 547,264,874,907,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,264,874,907,178 is 5094129532008.
Find LCM of 547,264,874,907,178 with Prime Factorization
2 | 547, 264, 874, 907, 178 |
547, 132, 437, 907, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 547 x 132 x 437 x 907 x 89 = 5094129532008
Therefore, the lowest common multiple of 547,264,874,907,178 is 5094129532008.
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.
547 x 264 x 874 x 907 x 178 = 20376518128032
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.
547 : 1, 547
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
874 : 1, 2, 19, 23, 38, 46, 437, 874
907 : 1, 907
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,264,874,907,178, is 1.
Now, the common factors can be found like this.
547:547
264:2x 2x 2x 3x 11
874:2x 19x 23
907:907
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 20376518128032/(1x4)
LCM = 20376518128032/4
LCM = 5094129532008
Thus, we can understand that the LCM of 547,264,874,907,178 is 5094129532008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 264, 874, 907, 178?
Answer: LCM of 547, 264, 874, 907, 178 is 5094129532008.
2. How to calculate the LCM of 547, 264, 874, 907, 178?
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 547, 264, 874, 907, 178.
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}.