LCM of 808, 748, 363, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 748, 363, 172 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 808, 748, 363, 172. So, keep reading to learn more.
Given numbers are 808,748,363,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,748,363,172 is 214405224.
Find LCM of 808,748,363,172 with Prime Factorization
| 2 | 808, 748, 363, 172 |
| 2 | 404, 374, 363, 86 |
| 11 | 202, 187, 363, 43 |
| 202, 17, 33, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 202 x 17 x 33 x 43 = 214405224
Therefore, the lowest common multiple of 808,748,363,172 is 214405224.
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.
808 x 748 x 363 x 172 = 37735319424
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
363 : 1, 3, 11, 33, 121, 363
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,748,363,172, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
748:2x 2x 11x 17
363:3x 11x 11
172:2x 2x 43
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 11 = 176
Therefore, the value for common factors is 176.
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 = 37735319424/(1x176)
LCM = 37735319424/176
LCM = 214405224
Thus, we can understand that the LCM of 808,748,363,172 is 214405224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 748, 363, 172
1. What is the LCM of 808, 748, 363, 172?
Answer: LCM of 808, 748, 363, 172 is 214405224.
2. How to calculate the LCM of 808, 748, 363, 172?
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 808, 748, 363, 172.
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}.