Find the LCM of 937, 354, 594, 990 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 937, 354, 594, 990. So, keep reading to learn more.
Given numbers are 937,354,594,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,354,594,990 is 164190510.
Find LCM of 937,354,594,990 with Prime Factorization
2 | 937, 354, 594, 990 |
3 | 937, 177, 297, 495 |
3 | 937, 59, 99, 165 |
11 | 937, 59, 33, 55 |
937, 59, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 937 x 59 x 3 x 5 = 164190510
Therefore, the lowest common multiple of 937,354,594,990 is 164190510.
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.
937 x 354 x 594 x 990 = 195058325880
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.
937 : 1, 937
354 : 1, 2, 3, 6, 59, 118, 177, 354
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,354,594,990, is 1.
Now, the common factors can be found like this.
937:937
354:2x 3x 59
594:2x 3x 3x 3x 11
990:2x 3x 3x 5x 11
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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 195058325880/(1x1188)
LCM = 195058325880/1188
LCM = 164190510
Thus, we can understand that the LCM of 937,354,594,990 is 164190510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 354, 594, 990?
Answer: LCM of 937, 354, 594, 990 is 164190510.
2. How to calculate the LCM of 937, 354, 594, 990?
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 937, 354, 594, 990.
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}.