LCM of 216, 208, 308, 182, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 208, 308, 182, 435 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 216, 208, 308, 182, 435. So, keep reading to learn more.
Given numbers are 216,208,308,182,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,208,308,182,435 is 62702640.
Find LCM of 216,208,308,182,435 with Prime Factorization
| 2 | 216, 208, 308, 182, 435 |
| 2 | 108, 104, 154, 91, 435 |
| 2 | 54, 52, 77, 91, 435 |
| 3 | 27, 26, 77, 91, 435 |
| 7 | 9, 26, 77, 91, 145 |
| 13 | 9, 26, 11, 13, 145 |
| 9, 2, 11, 1, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 9 x 2 x 11 x 1 x 145 = 62702640
Therefore, the lowest common multiple of 216,208,308,182,435 is 62702640.
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.
216 x 208 x 308 x 182 x 435 = 1095540526080
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
182 : 1, 2, 7, 13, 14, 26, 91, 182
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,208,308,182,435, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
208:2x 2x 2x 2x 13
308:2x 2x 7x 11
182:2x 7x 13
435:3x 5x 29
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 2x 2x 3x 7x 13 = 17472
Therefore, the value for common factors is 17472.
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 = 1095540526080/(1x17472)
LCM = 1095540526080/17472
LCM = 62702640
Thus, we can understand that the LCM of 216,208,308,182,435 is 62702640.
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FAQs on LCM of 216, 208, 308, 182, 435
1. What is the LCM of 216, 208, 308, 182, 435?
Answer: LCM of 216, 208, 308, 182, 435 is 62702640.
2. How to calculate the LCM of 216, 208, 308, 182, 435?
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 216, 208, 308, 182, 435.
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}.