LCM of 766, 321, 409, 120, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 321, 409, 120, 586 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 766, 321, 409, 120, 586. So, keep reading to learn more.
Given numbers are 766,321,409,120,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,321,409,120,586 is 589324811640.
Find LCM of 766,321,409,120,586 with Prime Factorization
| 2 | 766, 321, 409, 120, 586 |
| 3 | 383, 321, 409, 60, 293 |
| 383, 107, 409, 20, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 383 x 107 x 409 x 20 x 293 = 589324811640
Therefore, the lowest common multiple of 766,321,409,120,586 is 589324811640.
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.
766 x 321 x 409 x 120 x 586 = 7071897739680
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.
766 : 1, 2, 383, 766
321 : 1, 3, 107, 321
409 : 1, 409
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,321,409,120,586, is 1.
Now, the common factors can be found like this.
766:2x 383
321:3x 107
409:409
120:2x 2x 2x 3x 5
586:2x 293
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 3 = 12
Therefore, the value for common factors is 12.
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 = 7071897739680/(1x12)
LCM = 7071897739680/12
LCM = 589324811640
Thus, we can understand that the LCM of 766,321,409,120,586 is 589324811640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 321, 409, 120, 586
1. What is the LCM of 766, 321, 409, 120, 586?
Answer: LCM of 766, 321, 409, 120, 586 is 589324811640.
2. How to calculate the LCM of 766, 321, 409, 120, 586?
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 766, 321, 409, 120, 586.
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}.