LCM of 873, 410, 715, 973, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 410, 715, 973, 494 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 873, 410, 715, 973, 494. So, keep reading to learn more.
Given numbers are 873,410,715,973,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,410,715,973,494 is 946238423130.
Find LCM of 873,410,715,973,494 with Prime Factorization
| 2 | 873, 410, 715, 973, 494 |
| 5 | 873, 205, 715, 973, 247 |
| 13 | 873, 41, 143, 973, 247 |
| 873, 41, 11, 973, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 873 x 41 x 11 x 973 x 19 = 946238423130
Therefore, the lowest common multiple of 873,410,715,973,494 is 946238423130.
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.
873 x 410 x 715 x 973 x 494 = 123010995006900
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.
873 : 1, 3, 9, 97, 291, 873
410 : 1, 2, 5, 10, 41, 82, 205, 410
715 : 1, 5, 11, 13, 55, 65, 143, 715
973 : 1, 7, 139, 973
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,410,715,973,494, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
410:2x 5x 41
715:5x 11x 13
973:7x 139
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 123010995006900/(1x130)
LCM = 123010995006900/130
LCM = 946238423130
Thus, we can understand that the LCM of 873,410,715,973,494 is 946238423130.
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FAQs on LCM of 873, 410, 715, 973, 494
1. What is the LCM of 873, 410, 715, 973, 494?
Answer: LCM of 873, 410, 715, 973, 494 is 946238423130.
2. How to calculate the LCM of 873, 410, 715, 973, 494?
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 873, 410, 715, 973, 494.
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}.