Find the LCM of 675, 276, 245, 728, 562 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 675, 276, 245, 728, 562. So, keep reading to learn more.
Given numbers are 675,276,245,728,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,276,245,728,562 is 22231427400.
Find LCM of 675,276,245,728,562 with Prime Factorization
2 | 675, 276, 245, 728, 562 |
2 | 675, 138, 245, 364, 281 |
3 | 675, 69, 245, 182, 281 |
5 | 225, 23, 245, 182, 281 |
7 | 45, 23, 49, 182, 281 |
45, 23, 7, 26, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 45 x 23 x 7 x 26 x 281 = 22231427400
Therefore, the lowest common multiple of 675,276,245,728,562 is 22231427400.
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.
675 x 276 x 245 x 728 x 562 = 18674399016000
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
245 : 1, 5, 7, 35, 49, 245
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
562 : 1, 2, 281, 562
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,276,245,728,562, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
276:2x 2x 3x 23
245:5x 7x 7
728:2x 2x 2x 7x 13
562:2x 281
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 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 18674399016000/(1x840)
LCM = 18674399016000/840
LCM = 22231427400
Thus, we can understand that the LCM of 675,276,245,728,562 is 22231427400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 675, 276, 245, 728, 562?
Answer: LCM of 675, 276, 245, 728, 562 is 22231427400.
2. How to calculate the LCM of 675, 276, 245, 728, 562?
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 675, 276, 245, 728, 562.
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}.