Find the LCM of 600, 313, 692, 328, 500 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 600, 313, 692, 328, 500. So, keep reading to learn more.
Given numbers are 600,313,692,328,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,313,692,328,500 is 6660327000.
Find LCM of 600,313,692,328,500 with Prime Factorization
2 | 600, 313, 692, 328, 500 |
2 | 300, 313, 346, 164, 250 |
2 | 150, 313, 173, 82, 125 |
5 | 75, 313, 173, 41, 125 |
5 | 15, 313, 173, 41, 25 |
3, 313, 173, 41, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 3 x 313 x 173 x 41 x 5 = 6660327000
Therefore, the lowest common multiple of 600,313,692,328,500 is 6660327000.
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.
600 x 313 x 692 x 328 x 500 = 21313046400000
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
313 : 1, 313
692 : 1, 2, 4, 173, 346, 692
328 : 1, 2, 4, 8, 41, 82, 164, 328
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,313,692,328,500, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
313:313
692:2x 2x 173
328:2x 2x 2x 41
500:2x 2x 5x 5x 5
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 5 = 3200
Therefore, the value for common factors is 3200.
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 = 21313046400000/(1x3200)
LCM = 21313046400000/3200
LCM = 6660327000
Thus, we can understand that the LCM of 600,313,692,328,500 is 6660327000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 600, 313, 692, 328, 500?
Answer: LCM of 600, 313, 692, 328, 500 is 6660327000.
2. How to calculate the LCM of 600, 313, 692, 328, 500?
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 600, 313, 692, 328, 500.
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}.