LCM of 721, 282, 858, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 282, 858, 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 721, 282, 858, 847. So, keep reading to learn more.
Given numbers are 721,282,858,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,282,858,847 is 319825506.
Find LCM of 721,282,858,847 with Prime Factorization
| 2 | 721, 282, 858, 847 |
| 3 | 721, 141, 429, 847 |
| 7 | 721, 47, 143, 847 |
| 11 | 103, 47, 143, 121 |
| 103, 47, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 103 x 47 x 13 x 11 = 319825506
Therefore, the lowest common multiple of 721,282,858,847 is 319825506.
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.
721 x 282 x 858 x 847 = 147759383772
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.
721 : 1, 7, 103, 721
282 : 1, 2, 3, 6, 47, 94, 141, 282
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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 721,282,858,847, is 1.
Now, the common factors can be found like this.
721:7x 103
282:2x 3x 47
858:2x 3x 11x 13
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 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 147759383772/(1x462)
LCM = 147759383772/462
LCM = 319825506
Thus, we can understand that the LCM of 721,282,858,847 is 319825506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 282, 858, 847
1. What is the LCM of 721, 282, 858, 847?
Answer: LCM of 721, 282, 858, 847 is 319825506.
2. How to calculate the LCM of 721, 282, 858, 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 721, 282, 858, 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}.