Find the LCM of 532, 238, 800, 167, 608 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 532, 238, 800, 167, 608. So, keep reading to learn more.
Given numbers are 532,238,800,167,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,238,800,167,608 is 302069600.
Find LCM of 532,238,800,167,608 with Prime Factorization
2 | 532, 238, 800, 167, 608 |
2 | 266, 119, 400, 167, 304 |
2 | 133, 119, 200, 167, 152 |
2 | 133, 119, 100, 167, 76 |
2 | 133, 119, 50, 167, 38 |
7 | 133, 119, 25, 167, 19 |
19 | 19, 17, 25, 167, 19 |
1, 17, 25, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 19 x 1 x 17 x 25 x 167 x 1 = 302069600
Therefore, the lowest common multiple of 532,238,800,167,608 is 302069600.
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.
532 x 238 x 800 x 167 x 608 = 10284865740800
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
238 : 1, 2, 7, 14, 17, 34, 119, 238
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
167 : 1, 167
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,238,800,167,608, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
238:2x 7x 17
800:2x 2x 2x 2x 2x 5x 5
167:167
608:2x 2x 2x 2x 2x 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 2x 2x 2x 7x 19 = 34048
Therefore, the value for common factors is 34048.
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 = 10284865740800/(1x34048)
LCM = 10284865740800/34048
LCM = 302069600
Thus, we can understand that the LCM of 532,238,800,167,608 is 302069600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 238, 800, 167, 608?
Answer: LCM of 532, 238, 800, 167, 608 is 302069600.
2. How to calculate the LCM of 532, 238, 800, 167, 608?
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 532, 238, 800, 167, 608.
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}.