LCM of 515, 627, 152, 498, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 627, 152, 498, 116 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 515, 627, 152, 498, 116. So, keep reading to learn more.
Given numbers are 515,627,152,498,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,627,152,498,116 is 6217858680.
Find LCM of 515,627,152,498,116 with Prime Factorization
| 2 | 515, 627, 152, 498, 116 |
| 2 | 515, 627, 76, 249, 58 |
| 3 | 515, 627, 38, 249, 29 |
| 19 | 515, 209, 38, 83, 29 |
| 515, 11, 2, 83, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 515 x 11 x 2 x 83 x 29 = 6217858680
Therefore, the lowest common multiple of 515,627,152,498,116 is 6217858680.
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.
515 x 627 x 152 x 498 x 116 = 2835343558080
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.
515 : 1, 5, 103, 515
627 : 1, 3, 11, 19, 33, 57, 209, 627
152 : 1, 2, 4, 8, 19, 38, 76, 152
498 : 1, 2, 3, 6, 83, 166, 249, 498
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,627,152,498,116, is 1.
Now, the common factors can be found like this.
515:5x 103
627:3x 11x 19
152:2x 2x 2x 19
498:2x 3x 83
116:2x 2x 29
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 19 = 456
Therefore, the value for common factors is 456.
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 = 2835343558080/(1x456)
LCM = 2835343558080/456
LCM = 6217858680
Thus, we can understand that the LCM of 515,627,152,498,116 is 6217858680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 515, 627, 152, 498, 116
1. What is the LCM of 515, 627, 152, 498, 116?
Answer: LCM of 515, 627, 152, 498, 116 is 6217858680.
2. How to calculate the LCM of 515, 627, 152, 498, 116?
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 515, 627, 152, 498, 116.
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}.