Find the LCM of 300, 594, 686, 421, 400 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 300, 594, 686, 421, 400. So, keep reading to learn more.
Given numbers are 300,594,686,421,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,594,686,421,400 is 17155076400.
Find LCM of 300,594,686,421,400 with Prime Factorization
2 | 300, 594, 686, 421, 400 |
2 | 150, 297, 343, 421, 200 |
3 | 75, 297, 343, 421, 100 |
5 | 25, 99, 343, 421, 100 |
5 | 5, 99, 343, 421, 20 |
1, 99, 343, 421, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 1 x 99 x 343 x 421 x 4 = 17155076400
Therefore, the lowest common multiple of 300,594,686,421,400 is 17155076400.
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.
300 x 594 x 686 x 421 x 400 = 20586091680000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
686 : 1, 2, 7, 14, 49, 98, 343, 686
421 : 1, 421
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,594,686,421,400, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
594:2x 3x 3x 3x 11
686:2x 7x 7x 7
421:421
400:2x 2x 2x 2x 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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 20586091680000/(1x1200)
LCM = 20586091680000/1200
LCM = 17155076400
Thus, we can understand that the LCM of 300,594,686,421,400 is 17155076400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 594, 686, 421, 400?
Answer: LCM of 300, 594, 686, 421, 400 is 17155076400.
2. How to calculate the LCM of 300, 594, 686, 421, 400?
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 300, 594, 686, 421, 400.
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}.