LCM of 490, 872, 340, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 872, 340, 442 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 490, 872, 340, 442. So, keep reading to learn more.
Given numbers are 490,872,340,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,872,340,442 is 47214440.
Find LCM of 490,872,340,442 with Prime Factorization
| 2 | 490, 872, 340, 442 |
| 2 | 245, 436, 170, 221 |
| 5 | 245, 218, 85, 221 |
| 17 | 49, 218, 17, 221 |
| 49, 218, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 49 x 218 x 1 x 13 = 47214440
Therefore, the lowest common multiple of 490,872,340,442 is 47214440.
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.
490 x 872 x 340 x 442 = 64211638400
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
872 : 1, 2, 4, 8, 109, 218, 436, 872
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,872,340,442, is 2.
Now, the common factors can be found like this.
490:2x 5x 7x 7
872:2x 2x 2x 109
340:2x 2x 5x 17
442:2x 13x 17
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 64211638400/(2x680)
LCM = 64211638400/1360
LCM = 47214440
Thus, we can understand that the LCM of 490,872,340,442 is 47214440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 490, 872, 340, 442
1. What is the LCM of 490, 872, 340, 442?
Answer: LCM of 490, 872, 340, 442 is 47214440.
2. How to calculate the LCM of 490, 872, 340, 442?
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 490, 872, 340, 442.
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}.