LCM of 597, 822, 740, 990, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 822, 740, 990, 126 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 597, 822, 740, 990, 126. So, keep reading to learn more.
Given numbers are 597,822,740,990,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,822,740,990,126 is 13981011660.
Find LCM of 597,822,740,990,126 with Prime Factorization
| 2 | 597, 822, 740, 990, 126 |
| 3 | 597, 411, 370, 495, 63 |
| 3 | 199, 137, 370, 165, 21 |
| 5 | 199, 137, 370, 55, 7 |
| 199, 137, 74, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 199 x 137 x 74 x 11 x 7 = 13981011660
Therefore, the lowest common multiple of 597,822,740,990,126 is 13981011660.
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.
597 x 822 x 740 x 990 x 126 = 45298477778400
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.
597 : 1, 3, 199, 597
822 : 1, 2, 3, 6, 137, 274, 411, 822
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,822,740,990,126, is 1.
Now, the common factors can be found like this.
597:3x 199
822:2x 3x 137
740:2x 2x 5x 37
990:2x 3x 3x 5x 11
126:2x 3x 3x 7
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 45298477778400/(1x3240)
LCM = 45298477778400/3240
LCM = 13981011660
Thus, we can understand that the LCM of 597,822,740,990,126 is 13981011660.
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FAQs on LCM of 597, 822, 740, 990, 126
1. What is the LCM of 597, 822, 740, 990, 126?
Answer: LCM of 597, 822, 740, 990, 126 is 13981011660.
2. How to calculate the LCM of 597, 822, 740, 990, 126?
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 597, 822, 740, 990, 126.
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}.