LCM of 808, 210, 771, 572, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 210, 771, 572, 308 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, 210, 771, 572, 308. So, keep reading to learn more.
Given numbers are 808,210,771,572,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,210,771,572,308 is 3117954840.
Find LCM of 808,210,771,572,308 with Prime Factorization
| 2 | 808, 210, 771, 572, 308 |
| 2 | 404, 105, 771, 286, 154 |
| 3 | 202, 105, 771, 143, 77 |
| 7 | 202, 35, 257, 143, 77 |
| 11 | 202, 5, 257, 143, 11 |
| 202, 5, 257, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 202 x 5 x 257 x 13 x 1 = 3117954840
Therefore, the lowest common multiple of 808,210,771,572,308 is 3117954840.
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 210 x 771 x 572 x 308 = 23047922177280
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
771 : 1, 3, 257, 771
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,210,771,572,308, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
210:2x 3x 5x 7
771:3x 257
572:2x 2x 11x 13
308:2x 2x 7x 11
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 3x 7x 11 = 7392
Therefore, the value for common factors is 7392.
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 = 23047922177280/(1x7392)
LCM = 23047922177280/7392
LCM = 3117954840
Thus, we can understand that the LCM of 808,210,771,572,308 is 3117954840.
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FAQs on LCM of 808, 210, 771, 572, 308
1. What is the LCM of 808, 210, 771, 572, 308?
Answer: LCM of 808, 210, 771, 572, 308 is 3117954840.
2. How to calculate the LCM of 808, 210, 771, 572, 308?
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, 210, 771, 572, 308.
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}.