LCM of 594, 398, 156, 585, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 398, 156, 585, 957 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 594, 398, 156, 585, 957. So, keep reading to learn more.
Given numbers are 594,398,156,585,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,398,156,585,957 is 445636620.
Find LCM of 594,398,156,585,957 with Prime Factorization
| 2 | 594, 398, 156, 585, 957 |
| 3 | 297, 199, 78, 585, 957 |
| 3 | 99, 199, 26, 195, 319 |
| 11 | 33, 199, 26, 65, 319 |
| 13 | 3, 199, 26, 65, 29 |
| 3, 199, 2, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 3 x 199 x 2 x 5 x 29 = 445636620
Therefore, the lowest common multiple of 594,398,156,585,957 is 445636620.
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.
594 x 398 x 156 x 585 x 957 = 20647235877840
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
398 : 1, 2, 199, 398
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,398,156,585,957, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
398:2x 199
156:2x 2x 3x 13
585:3x 3x 5x 13
957:3x 11x 29
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 3x 11x 13 = 46332
Therefore, the value for common factors is 46332.
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 = 20647235877840/(1x46332)
LCM = 20647235877840/46332
LCM = 445636620
Thus, we can understand that the LCM of 594,398,156,585,957 is 445636620.
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FAQs on LCM of 594, 398, 156, 585, 957
1. What is the LCM of 594, 398, 156, 585, 957?
Answer: LCM of 594, 398, 156, 585, 957 is 445636620.
2. How to calculate the LCM of 594, 398, 156, 585, 957?
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 594, 398, 156, 585, 957.
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}.