LCM of 308, 851, 216, 532, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 851, 216, 532, 253 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 308, 851, 216, 532, 253. So, keep reading to learn more.
Given numbers are 308,851,216,532,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,851,216,532,253 is 268922808.
Find LCM of 308,851,216,532,253 with Prime Factorization
| 2 | 308, 851, 216, 532, 253 |
| 2 | 154, 851, 108, 266, 253 |
| 7 | 77, 851, 54, 133, 253 |
| 11 | 11, 851, 54, 19, 253 |
| 23 | 1, 851, 54, 19, 23 |
| 1, 37, 54, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 23 x 1 x 37 x 54 x 19 x 1 = 268922808
Therefore, the lowest common multiple of 308,851,216,532,253 is 268922808.
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.
308 x 851 x 216 x 532 x 253 = 7620196687488
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
851 : 1, 23, 37, 851
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,851,216,532,253, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
851:23x 37
216:2x 2x 2x 3x 3x 3
532:2x 2x 7x 19
253:11x 23
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 7x 11x 23 = 28336
Therefore, the value for common factors is 28336.
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 = 7620196687488/(1x28336)
LCM = 7620196687488/28336
LCM = 268922808
Thus, we can understand that the LCM of 308,851,216,532,253 is 268922808.
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FAQs on LCM of 308, 851, 216, 532, 253
1. What is the LCM of 308, 851, 216, 532, 253?
Answer: LCM of 308, 851, 216, 532, 253 is 268922808.
2. How to calculate the LCM of 308, 851, 216, 532, 253?
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 308, 851, 216, 532, 253.
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}.