Find the LCM of 178, 764, 242, 637, 842 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 178, 764, 242, 637, 842. So, keep reading to learn more.
Given numbers are 178,764,242,637,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,764,242,637,842 is 2206430558332.
Find LCM of 178,764,242,637,842 with Prime Factorization
2 | 178, 764, 242, 637, 842 |
89, 382, 121, 637, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 382 x 121 x 637 x 421 = 2206430558332
Therefore, the lowest common multiple of 178,764,242,637,842 is 2206430558332.
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.
178 x 764 x 242 x 637 x 842 = 17651444466656
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.
178 : 1, 2, 89, 178
764 : 1, 2, 4, 191, 382, 764
242 : 1, 2, 11, 22, 121, 242
637 : 1, 7, 13, 49, 91, 637
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,764,242,637,842, is 1.
Now, the common factors can be found like this.
178:2x 89
764:2x 2x 191
242:2x 11x 11
637:7x 7x 13
842:2x 421
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 2 = 8
Therefore, the value for common factors is 8.
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 = 17651444466656/(1x8)
LCM = 17651444466656/8
LCM = 2206430558332
Thus, we can understand that the LCM of 178,764,242,637,842 is 2206430558332.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 178, 764, 242, 637, 842?
Answer: LCM of 178, 764, 242, 637, 842 is 2206430558332.
2. How to calculate the LCM of 178, 764, 242, 637, 842?
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 178, 764, 242, 637, 842.
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}.