LCM of 602, 223, 669, 130, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 223, 669, 130, 810 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 602, 223, 669, 130, 810. So, keep reading to learn more.
Given numbers are 602,223,669,130,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,223,669,130,810 is 706805190.
Find LCM of 602,223,669,130,810 with Prime Factorization
| 2 | 602, 223, 669, 130, 810 |
| 3 | 301, 223, 669, 65, 405 |
| 5 | 301, 223, 223, 65, 135 |
| 223 | 301, 223, 223, 13, 27 |
| 301, 1, 1, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 223 x 301 x 1 x 1 x 13 x 27 = 706805190
Therefore, the lowest common multiple of 602,223,669,130,810 is 706805190.
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.
602 x 223 x 669 x 130 x 810 = 9457053442200
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
223 : 1, 223
669 : 1, 3, 223, 669
130 : 1, 2, 5, 10, 13, 26, 65, 130
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,223,669,130,810, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
223:223
669:3x 223
130:2x 5x 13
810:2x 3x 3x 3x 3x 5
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 3x 5x 223 = 13380
Therefore, the value for common factors is 13380.
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 = 9457053442200/(1x13380)
LCM = 9457053442200/13380
LCM = 706805190
Thus, we can understand that the LCM of 602,223,669,130,810 is 706805190.
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FAQs on LCM of 602, 223, 669, 130, 810
1. What is the LCM of 602, 223, 669, 130, 810?
Answer: LCM of 602, 223, 669, 130, 810 is 706805190.
2. How to calculate the LCM of 602, 223, 669, 130, 810?
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 602, 223, 669, 130, 810.
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}.