LCM of 178, 464, 189, 103, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 464, 189, 103, 824 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, 464, 189, 103, 824. So, keep reading to learn more.
Given numbers are 178,464,189,103,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,464,189,103,824 is 803909232.
Find LCM of 178,464,189,103,824 with Prime Factorization
| 2 | 178, 464, 189, 103, 824 |
| 2 | 89, 232, 189, 103, 412 |
| 2 | 89, 116, 189, 103, 206 |
| 103 | 89, 58, 189, 103, 103 |
| 89, 58, 189, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 89 x 58 x 189 x 1 x 1 = 803909232
Therefore, the lowest common multiple of 178,464,189,103,824 is 803909232.
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 464 x 189 x 103 x 824 = 1324842414336
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
189 : 1, 3, 7, 9, 21, 27, 63, 189
103 : 1, 103
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,464,189,103,824, is 1.
Now, the common factors can be found like this.
178:2x 89
464:2x 2x 2x 2x 29
189:3x 3x 3x 7
103:103
824:2x 2x 2x 103
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 103 = 1648
Therefore, the value for common factors is 1648.
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 = 1324842414336/(1x1648)
LCM = 1324842414336/1648
LCM = 803909232
Thus, we can understand that the LCM of 178,464,189,103,824 is 803909232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 178, 464, 189, 103, 824
1. What is the LCM of 178, 464, 189, 103, 824?
Answer: LCM of 178, 464, 189, 103, 824 is 803909232.
2. How to calculate the LCM of 178, 464, 189, 103, 824?
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, 464, 189, 103, 824.
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}.