Find the LCM of 280, 210, 652, 196, 567 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, 210, 652, 196, 567. So, keep reading to learn more.
Given numbers are 280,210,652,196,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,210,652,196,567 is 25877880.
Find LCM of 280,210,652,196,567 with Prime Factorization
2 | 280, 210, 652, 196, 567 |
2 | 140, 105, 326, 98, 567 |
3 | 70, 105, 163, 49, 567 |
5 | 70, 35, 163, 49, 189 |
7 | 14, 7, 163, 49, 189 |
2, 1, 163, 7, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 2 x 1 x 163 x 7 x 27 = 25877880
Therefore, the lowest common multiple of 280,210,652,196,567 is 25877880.
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 210 x 652 x 196 x 567 = 4260534163200
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
652 : 1, 2, 4, 163, 326, 652
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,210,652,196,567, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
210:2x 3x 5x 7
652:2x 2x 163
196:2x 2x 7x 7
567:3x 3x 3x 3x 7
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 3x 5x 7x 7x 7 = 164640
Therefore, the value for common factors is 164640.
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 = 4260534163200/(1x164640)
LCM = 4260534163200/164640
LCM = 25877880
Thus, we can understand that the LCM of 280,210,652,196,567 is 25877880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 280, 210, 652, 196, 567?
Answer: LCM of 280, 210, 652, 196, 567 is 25877880.
2. How to calculate the LCM of 280, 210, 652, 196, 567?
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, 210, 652, 196, 567.
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}.