LCM of 103, 400, 196, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 400, 196, 216 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 103, 400, 196, 216. So, keep reading to learn more.
Given numbers are 103,400,196,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,400,196,216 is 54507600.
Find LCM of 103,400,196,216 with Prime Factorization
| 2 | 103, 400, 196, 216 |
| 2 | 103, 200, 98, 108 |
| 2 | 103, 100, 49, 54 |
| 103, 50, 49, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 50 x 49 x 27 = 54507600
Therefore, the lowest common multiple of 103,400,196,216 is 54507600.
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.
103 x 400 x 196 x 216 = 1744243200
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.
103 : 1, 103
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,400,196,216, is 1.
Now, the common factors can be found like this.
103:103
400:2x 2x 2x 2x 5x 5
196:2x 2x 7x 7
216:2x 2x 2x 3x 3x 3
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 2 = 32
Therefore, the value for common factors is 32.
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 = 1744243200/(1x32)
LCM = 1744243200/32
LCM = 54507600
Thus, we can understand that the LCM of 103,400,196,216 is 54507600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 400, 196, 216
1. What is the LCM of 103, 400, 196, 216?
Answer: LCM of 103, 400, 196, 216 is 54507600.
2. How to calculate the LCM of 103, 400, 196, 216?
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 103, 400, 196, 216.
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}.