LCM of 433, 178, 196, 658, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 178, 196, 658, 612 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 433, 178, 196, 658, 612. So, keep reading to learn more.
Given numbers are 433,178,196,658,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,178,196,658,612 is 54315435132.
Find LCM of 433,178,196,658,612 with Prime Factorization
| 2 | 433, 178, 196, 658, 612 |
| 2 | 433, 89, 98, 329, 306 |
| 7 | 433, 89, 49, 329, 153 |
| 433, 89, 7, 47, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 433 x 89 x 7 x 47 x 153 = 54315435132
Therefore, the lowest common multiple of 433,178,196,658,612 is 54315435132.
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.
433 x 178 x 196 x 658 x 612 = 6083328734784
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.
433 : 1, 433
178 : 1, 2, 89, 178
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
658 : 1, 2, 7, 14, 47, 94, 329, 658
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,178,196,658,612, is 1.
Now, the common factors can be found like this.
433:433
178:2x 89
196:2x 2x 7x 7
658:2x 7x 47
612:2x 2x 3x 3x 17
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 7 = 112
Therefore, the value for common factors is 112.
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 = 6083328734784/(1x112)
LCM = 6083328734784/112
LCM = 54315435132
Thus, we can understand that the LCM of 433,178,196,658,612 is 54315435132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 433, 178, 196, 658, 612
1. What is the LCM of 433, 178, 196, 658, 612?
Answer: LCM of 433, 178, 196, 658, 612 is 54315435132.
2. How to calculate the LCM of 433, 178, 196, 658, 612?
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 433, 178, 196, 658, 612.
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}.