LCM of 602, 462, 516, 869, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 462, 516, 869, 811 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, 462, 516, 869, 811. So, keep reading to learn more.
Given numbers are 602,462,516,869,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,462,516,869,811 is 2545589508.
Find LCM of 602,462,516,869,811 with Prime Factorization
| 2 | 602, 462, 516, 869, 811 |
| 3 | 301, 231, 258, 869, 811 |
| 7 | 301, 77, 86, 869, 811 |
| 11 | 43, 11, 86, 869, 811 |
| 43 | 43, 1, 86, 79, 811 |
| 1, 1, 2, 79, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 43 x 1 x 1 x 2 x 79 x 811 = 2545589508
Therefore, the lowest common multiple of 602,462,516,869,811 is 2545589508.
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 462 x 516 x 869 x 811 = 101141362331856
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
869 : 1, 11, 79, 869
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,462,516,869,811, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
462:2x 3x 7x 11
516:2x 2x 3x 43
869:11x 79
811:811
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 7x 11x 43 = 39732
Therefore, the value for common factors is 39732.
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 = 101141362331856/(1x39732)
LCM = 101141362331856/39732
LCM = 2545589508
Thus, we can understand that the LCM of 602,462,516,869,811 is 2545589508.
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FAQs on LCM of 602, 462, 516, 869, 811
1. What is the LCM of 602, 462, 516, 869, 811?
Answer: LCM of 602, 462, 516, 869, 811 is 2545589508.
2. How to calculate the LCM of 602, 462, 516, 869, 811?
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, 462, 516, 869, 811.
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}.