LCM of 716, 469, 567, 998, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 469, 567, 998, 685 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 716, 469, 567, 998, 685. So, keep reading to learn more.
Given numbers are 716,469,567,998,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,469,567,998,685 is 9297410385060.
Find LCM of 716,469,567,998,685 with Prime Factorization
| 2 | 716, 469, 567, 998, 685 |
| 7 | 358, 469, 567, 499, 685 |
| 358, 67, 81, 499, 685 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 358 x 67 x 81 x 499 x 685 = 9297410385060
Therefore, the lowest common multiple of 716,469,567,998,685 is 9297410385060.
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.
716 x 469 x 567 x 998 x 685 = 130163745390840
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.
716 : 1, 2, 4, 179, 358, 716
469 : 1, 7, 67, 469
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
998 : 1, 2, 499, 998
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,469,567,998,685, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
469:7x 67
567:3x 3x 3x 3x 7
998:2x 499
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 130163745390840/(1x14)
LCM = 130163745390840/14
LCM = 9297410385060
Thus, we can understand that the LCM of 716,469,567,998,685 is 9297410385060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 469, 567, 998, 685
1. What is the LCM of 716, 469, 567, 998, 685?
Answer: LCM of 716, 469, 567, 998, 685 is 9297410385060.
2. How to calculate the LCM of 716, 469, 567, 998, 685?
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 716, 469, 567, 998, 685.
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}.