LCM of 812, 688, 464, 801, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 688, 464, 801, 847 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 812, 688, 464, 801, 847. So, keep reading to learn more.
Given numbers are 812,688,464,801,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,688,464,801,847 is 13536374544.
Find LCM of 812,688,464,801,847 with Prime Factorization
| 2 | 812, 688, 464, 801, 847 |
| 2 | 406, 344, 232, 801, 847 |
| 2 | 203, 172, 116, 801, 847 |
| 2 | 203, 86, 58, 801, 847 |
| 7 | 203, 43, 29, 801, 847 |
| 29 | 29, 43, 29, 801, 121 |
| 1, 43, 1, 801, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 29 x 1 x 43 x 1 x 801 x 121 = 13536374544
Therefore, the lowest common multiple of 812,688,464,801,847 is 13536374544.
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.
812 x 688 x 464 x 801 x 847 = 175864578075648
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
801 : 1, 3, 9, 89, 267, 801
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,688,464,801,847, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
688:2x 2x 2x 2x 43
464:2x 2x 2x 2x 29
801:3x 3x 89
847:7x 11x 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 2x 7x 29 = 12992
Therefore, the value for common factors is 12992.
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 = 175864578075648/(1x12992)
LCM = 175864578075648/12992
LCM = 13536374544
Thus, we can understand that the LCM of 812,688,464,801,847 is 13536374544.
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FAQs on LCM of 812, 688, 464, 801, 847
1. What is the LCM of 812, 688, 464, 801, 847?
Answer: LCM of 812, 688, 464, 801, 847 is 13536374544.
2. How to calculate the LCM of 812, 688, 464, 801, 847?
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 812, 688, 464, 801, 847.
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}.