Find the LCM of 280, 624, 404, 532 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 280, 624, 404, 532. So, keep reading to learn more.
Given numbers are 280,624,404,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,624,404,532 is 41910960.
Find LCM of 280,624,404,532 with Prime Factorization
2 | 280, 624, 404, 532 |
2 | 140, 312, 202, 266 |
2 | 70, 156, 101, 133 |
7 | 35, 78, 101, 133 |
5, 78, 101, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 5 x 78 x 101 x 19 = 41910960
Therefore, the lowest common multiple of 280,624,404,532 is 41910960.
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.
280 x 624 x 404 x 532 = 37552220160
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
404 : 1, 2, 4, 101, 202, 404
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,624,404,532, is 4.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
624:2x 2x 2x 2x 3x 13
404:2x 2x 101
532:2x 2x 7x 19
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 37552220160/(4x224)
LCM = 37552220160/896
LCM = 41910960
Thus, we can understand that the LCM of 280,624,404,532 is 41910960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 280, 624, 404, 532?
Answer: LCM of 280, 624, 404, 532 is 41910960.
2. How to calculate the LCM of 280, 624, 404, 532?
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 280, 624, 404, 532.
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}.