LCM of 391, 144, 306, 782, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 144, 306, 782, 610 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 391, 144, 306, 782, 610. So, keep reading to learn more.
Given numbers are 391,144,306,782,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,144,306,782,610 is 17172720.
Find LCM of 391,144,306,782,610 with Prime Factorization
| 2 | 391, 144, 306, 782, 610 |
| 3 | 391, 72, 153, 391, 305 |
| 3 | 391, 24, 51, 391, 305 |
| 17 | 391, 8, 17, 391, 305 |
| 23 | 23, 8, 1, 23, 305 |
| 1, 8, 1, 1, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 23 x 1 x 8 x 1 x 1 x 305 = 17172720
Therefore, the lowest common multiple of 391,144,306,782,610 is 17172720.
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.
391 x 144 x 306 x 782 x 610 = 8218589028480
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.
391 : 1, 17, 23, 391
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
782 : 1, 2, 17, 23, 34, 46, 391, 782
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,144,306,782,610, is 1.
Now, the common factors can be found like this.
391:17x 23
144:2x 2x 2x 2x 3x 3
306:2x 3x 3x 17
782:2x 17x 23
610:2x 5x 61
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 2x 3x 3x 17x 17x 23 = 478584
Therefore, the value for common factors is 478584.
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 = 8218589028480/(1x478584)
LCM = 8218589028480/478584
LCM = 17172720
Thus, we can understand that the LCM of 391,144,306,782,610 is 17172720.
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FAQs on LCM of 391, 144, 306, 782, 610
1. What is the LCM of 391, 144, 306, 782, 610?
Answer: LCM of 391, 144, 306, 782, 610 is 17172720.
2. How to calculate the LCM of 391, 144, 306, 782, 610?
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 391, 144, 306, 782, 610.
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}.