LCM of 193, 738, 477, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 738, 477, 984 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 193, 738, 477, 984. So, keep reading to learn more.
Given numbers are 193,738,477,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,738,477,984 is 30196008.
Find LCM of 193,738,477,984 with Prime Factorization
| 2 | 193, 738, 477, 984 |
| 3 | 193, 369, 477, 492 |
| 3 | 193, 123, 159, 164 |
| 41 | 193, 41, 53, 164 |
| 193, 1, 53, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 193 x 1 x 53 x 4 = 30196008
Therefore, the lowest common multiple of 193,738,477,984 is 30196008.
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.
193 x 738 x 477 x 984 = 66853961712
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.
193 : 1, 193
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
477 : 1, 3, 9, 53, 159, 477
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,738,477,984, is 1.
Now, the common factors can be found like this.
193:193
738:2x 3x 3x 41
477:3x 3x 53
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 41 = 2214
Therefore, the value for common factors is 2214.
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 = 66853961712/(1x2214)
LCM = 66853961712/2214
LCM = 30196008
Thus, we can understand that the LCM of 193,738,477,984 is 30196008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 738, 477, 984
1. What is the LCM of 193, 738, 477, 984?
Answer: LCM of 193, 738, 477, 984 is 30196008.
2. How to calculate the LCM of 193, 738, 477, 984?
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 193, 738, 477, 984.
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}.