LCM of 319, 924, 180, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 924, 180, 617 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, 924, 180, 617. So, keep reading to learn more.
Given numbers are 319,924,180,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,924,180,617 is 247996980.
Find LCM of 319,924,180,617 with Prime Factorization
| 2 | 319, 924, 180, 617 |
| 2 | 319, 462, 90, 617 |
| 3 | 319, 231, 45, 617 |
| 11 | 319, 77, 15, 617 |
| 29, 7, 15, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 29 x 7 x 15 x 617 = 247996980
Therefore, the lowest common multiple of 319,924,180,617 is 247996980.
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 924 x 180 x 617 = 32735601360
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,924,180,617, is 1.
Now, the common factors can be found like this.
319:11x 29
924:2x 2x 3x 7x 11
180:2x 2x 3x 3x 5
617:617
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 32735601360/(1x132)
LCM = 32735601360/132
LCM = 247996980
Thus, we can understand that the LCM of 319,924,180,617 is 247996980.
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, 924, 180, 617
1. What is the LCM of 319, 924, 180, 617?
Answer: LCM of 319, 924, 180, 617 is 247996980.
2. How to calculate the LCM of 319, 924, 180, 617?
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, 924, 180, 617.
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}.