LCM of 594, 845, 512, 300, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 845, 512, 300, 786 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, 845, 512, 300, 786. So, keep reading to learn more.
Given numbers are 594,845,512,300,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,845,512,300,786 is 84163622400.
Find LCM of 594,845,512,300,786 with Prime Factorization
| 2 | 594, 845, 512, 300, 786 |
| 2 | 297, 845, 256, 150, 393 |
| 3 | 297, 845, 128, 75, 393 |
| 5 | 99, 845, 128, 25, 131 |
| 99, 169, 128, 5, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 99 x 169 x 128 x 5 x 131 = 84163622400
Therefore, the lowest common multiple of 594,845,512,300,786 is 84163622400.
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 845 x 512 x 300 x 786 = 60597808128000
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
845 : 1, 5, 13, 65, 169, 845
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,845,512,300,786, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
845:5x 13x 13
512:2x 2x 2x 2x 2x 2x 2x 2x 2
300:2x 2x 3x 5x 5
786:2x 3x 131
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 60597808128000/(1x720)
LCM = 60597808128000/720
LCM = 84163622400
Thus, we can understand that the LCM of 594,845,512,300,786 is 84163622400.
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FAQs on LCM of 594, 845, 512, 300, 786
1. What is the LCM of 594, 845, 512, 300, 786?
Answer: LCM of 594, 845, 512, 300, 786 is 84163622400.
2. How to calculate the LCM of 594, 845, 512, 300, 786?
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, 845, 512, 300, 786.
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}.