LCM of 809, 483, 894, 294, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 483, 894, 294, 859 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 809, 483, 894, 294, 859. So, keep reading to learn more.
Given numbers are 809,483,894,294,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,483,894,294,859 is 700169389878.
Find LCM of 809,483,894,294,859 with Prime Factorization
| 2 | 809, 483, 894, 294, 859 |
| 3 | 809, 483, 447, 147, 859 |
| 7 | 809, 161, 149, 49, 859 |
| 809, 23, 149, 7, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 809 x 23 x 149 x 7 x 859 = 700169389878
Therefore, the lowest common multiple of 809,483,894,294,859 is 700169389878.
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.
809 x 483 x 894 x 294 x 859 = 88221343124628
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.
809 : 1, 809
483 : 1, 3, 7, 21, 23, 69, 161, 483
894 : 1, 2, 3, 6, 149, 298, 447, 894
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,483,894,294,859, is 1.
Now, the common factors can be found like this.
809:809
483:3x 7x 23
894:2x 3x 149
294:2x 3x 7x 7
859:859
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 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 88221343124628/(1x126)
LCM = 88221343124628/126
LCM = 700169389878
Thus, we can understand that the LCM of 809,483,894,294,859 is 700169389878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 809, 483, 894, 294, 859
1. What is the LCM of 809, 483, 894, 294, 859?
Answer: LCM of 809, 483, 894, 294, 859 is 700169389878.
2. How to calculate the LCM of 809, 483, 894, 294, 859?
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 809, 483, 894, 294, 859.
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}.