LCM of 319, 916, 418, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 916, 418, 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 319, 916, 418, 610. So, keep reading to learn more.
Given numbers are 319,916,418,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,916,418,610 is 1693322180.
Find LCM of 319,916,418,610 with Prime Factorization
| 2 | 319, 916, 418, 610 |
| 11 | 319, 458, 209, 305 |
| 29, 458, 19, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 458 x 19 x 305 = 1693322180
Therefore, the lowest common multiple of 319,916,418,610 is 1693322180.
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.
319 x 916 x 418 x 610 = 74506175920
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.
319 : 1, 11, 29, 319
916 : 1, 2, 4, 229, 458, 916
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 319,916,418,610, is 1.
Now, the common factors can be found like this.
319:11x 29
916:2x 2x 229
418:2x 11x 19
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 11 = 44
Therefore, the value for common factors is 44.
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 = 74506175920/(1x44)
LCM = 74506175920/44
LCM = 1693322180
Thus, we can understand that the LCM of 319,916,418,610 is 1693322180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 319, 916, 418, 610
1. What is the LCM of 319, 916, 418, 610?
Answer: LCM of 319, 916, 418, 610 is 1693322180.
2. How to calculate the LCM of 319, 916, 418, 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 319, 916, 418, 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}.