LCM of 260, 533, 100, 200, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 533, 100, 200, 632 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 260, 533, 100, 200, 632. So, keep reading to learn more.
Given numbers are 260,533,100,200,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,533,100,200,632 is 8421400.
Find LCM of 260,533,100,200,632 with Prime Factorization
| 2 | 260, 533, 100, 200, 632 |
| 2 | 130, 533, 50, 100, 316 |
| 2 | 65, 533, 25, 50, 158 |
| 5 | 65, 533, 25, 25, 79 |
| 5 | 13, 533, 5, 5, 79 |
| 13 | 13, 533, 1, 1, 79 |
| 1, 41, 1, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 13 x 1 x 41 x 1 x 1 x 79 = 8421400
Therefore, the lowest common multiple of 260,533,100,200,632 is 8421400.
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.
260 x 533 x 100 x 200 x 632 = 1751651200000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
533 : 1, 13, 41, 533
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,533,100,200,632, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
533:13x 41
100:2x 2x 5x 5
200:2x 2x 2x 5x 5
632:2x 2x 2x 79
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 2x 2x 5x 5x 5x 13 = 208000
Therefore, the value for common factors is 208000.
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 = 1751651200000/(1x208000)
LCM = 1751651200000/208000
LCM = 8421400
Thus, we can understand that the LCM of 260,533,100,200,632 is 8421400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 260, 533, 100, 200, 632
1. What is the LCM of 260, 533, 100, 200, 632?
Answer: LCM of 260, 533, 100, 200, 632 is 8421400.
2. How to calculate the LCM of 260, 533, 100, 200, 632?
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 260, 533, 100, 200, 632.
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}.