LCM of 224, 680, 509, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 680, 509, 636 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 224, 680, 509, 636. So, keep reading to learn more.
Given numbers are 224,680,509,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,680,509,636 is 1540926240.
Find LCM of 224,680,509,636 with Prime Factorization
| 2 | 224, 680, 509, 636 |
| 2 | 112, 340, 509, 318 |
| 2 | 56, 170, 509, 159 |
| 28, 85, 509, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 28 x 85 x 509 x 159 = 1540926240
Therefore, the lowest common multiple of 224,680,509,636 is 1540926240.
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.
224 x 680 x 509 x 636 = 49309639680
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
509 : 1, 509
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,680,509,636, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
680:2x 2x 2x 5x 17
509:509
636:2x 2x 3x 53
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 49309639680/(1x32)
LCM = 49309639680/32
LCM = 1540926240
Thus, we can understand that the LCM of 224,680,509,636 is 1540926240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 224, 680, 509, 636
1. What is the LCM of 224, 680, 509, 636?
Answer: LCM of 224, 680, 509, 636 is 1540926240.
2. How to calculate the LCM of 224, 680, 509, 636?
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 224, 680, 509, 636.
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}.