LCM of 603, 846, 201, 817, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 846, 201, 817, 690 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 603, 846, 201, 817, 690. So, keep reading to learn more.
Given numbers are 603,846,201,817,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,846,201,817,690 is 5325557310.
Find LCM of 603,846,201,817,690 with Prime Factorization
| 2 | 603, 846, 201, 817, 690 |
| 3 | 603, 423, 201, 817, 345 |
| 3 | 67, 141, 201, 817, 115 |
| 67 | 67, 47, 67, 817, 115 |
| 1, 47, 1, 817, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 67 x 1 x 47 x 1 x 817 x 115 = 5325557310
Therefore, the lowest common multiple of 603,846,201,817,690 is 5325557310.
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.
603 x 846 x 201 x 817 x 690 = 57803599042740
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.
603 : 1, 3, 9, 67, 201, 603
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
201 : 1, 3, 67, 201
817 : 1, 19, 43, 817
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,846,201,817,690, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
846:2x 3x 3x 47
201:3x 67
817:19x 43
690:2x 3x 5x 23
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 3x 3x 67 = 10854
Therefore, the value for common factors is 10854.
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 = 57803599042740/(1x10854)
LCM = 57803599042740/10854
LCM = 5325557310
Thus, we can understand that the LCM of 603,846,201,817,690 is 5325557310.
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FAQs on LCM of 603, 846, 201, 817, 690
1. What is the LCM of 603, 846, 201, 817, 690?
Answer: LCM of 603, 846, 201, 817, 690 is 5325557310.
2. How to calculate the LCM of 603, 846, 201, 817, 690?
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 603, 846, 201, 817, 690.
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}.