LCM of 813, 606, 490, 162, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 606, 490, 162, 126 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 813, 606, 490, 162, 126. So, keep reading to learn more.
Given numbers are 813,606,490,162,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,606,490,162,126 is 1086354990.
Find LCM of 813,606,490,162,126 with Prime Factorization
| 2 | 813, 606, 490, 162, 126 |
| 3 | 813, 303, 245, 81, 63 |
| 3 | 271, 101, 245, 27, 21 |
| 7 | 271, 101, 245, 9, 7 |
| 271, 101, 35, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 271 x 101 x 35 x 9 x 1 = 1086354990
Therefore, the lowest common multiple of 813,606,490,162,126 is 1086354990.
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.
813 x 606 x 490 x 162 x 126 = 4927706234640
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.
813 : 1, 3, 271, 813
606 : 1, 2, 3, 6, 101, 202, 303, 606
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,606,490,162,126, is 1.
Now, the common factors can be found like this.
813:3x 271
606:2x 3x 101
490:2x 5x 7x 7
162:2x 3x 3x 3x 3
126:2x 3x 3x 7
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 3x 3x 7 = 4536
Therefore, the value for common factors is 4536.
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 = 4927706234640/(1x4536)
LCM = 4927706234640/4536
LCM = 1086354990
Thus, we can understand that the LCM of 813,606,490,162,126 is 1086354990.
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FAQs on LCM of 813, 606, 490, 162, 126
1. What is the LCM of 813, 606, 490, 162, 126?
Answer: LCM of 813, 606, 490, 162, 126 is 1086354990.
2. How to calculate the LCM of 813, 606, 490, 162, 126?
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 813, 606, 490, 162, 126.
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}.