LCM of 694, 203, 738, 812, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 203, 738, 812, 486 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 694, 203, 738, 812, 486. So, keep reading to learn more.
Given numbers are 694,203,738,812,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,203,738,812,486 is 2807214732.
Find LCM of 694,203,738,812,486 with Prime Factorization
| 2 | 694, 203, 738, 812, 486 |
| 3 | 347, 203, 369, 406, 243 |
| 3 | 347, 203, 123, 406, 81 |
| 7 | 347, 203, 41, 406, 27 |
| 29 | 347, 29, 41, 58, 27 |
| 347, 1, 41, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 29 x 347 x 1 x 41 x 2 x 27 = 2807214732
Therefore, the lowest common multiple of 694,203,738,812,486 is 2807214732.
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.
694 x 203 x 738 x 812 x 486 = 41030250522912
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.
694 : 1, 2, 347, 694
203 : 1, 7, 29, 203
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,203,738,812,486, is 1.
Now, the common factors can be found like this.
694:2x 347
203:7x 29
738:2x 3x 3x 41
812:2x 2x 7x 29
486:2x 3x 3x 3x 3x 3
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 3x 3x 7x 29 = 14616
Therefore, the value for common factors is 14616.
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 = 41030250522912/(1x14616)
LCM = 41030250522912/14616
LCM = 2807214732
Thus, we can understand that the LCM of 694,203,738,812,486 is 2807214732.
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FAQs on LCM of 694, 203, 738, 812, 486
1. What is the LCM of 694, 203, 738, 812, 486?
Answer: LCM of 694, 203, 738, 812, 486 is 2807214732.
2. How to calculate the LCM of 694, 203, 738, 812, 486?
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 694, 203, 738, 812, 486.
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}.