LCM of 202, 624, 769, 909, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 624, 769, 909, 512 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 202, 624, 769, 909, 512. So, keep reading to learn more.
Given numbers are 202,624,769,909,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,624,769,909,512 is 4652683776.
Find LCM of 202,624,769,909,512 with Prime Factorization
| 2 | 202, 624, 769, 909, 512 |
| 2 | 101, 312, 769, 909, 256 |
| 2 | 101, 156, 769, 909, 128 |
| 2 | 101, 78, 769, 909, 64 |
| 3 | 101, 39, 769, 909, 32 |
| 101 | 101, 13, 769, 303, 32 |
| 1, 13, 769, 3, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 101 x 1 x 13 x 769 x 3 x 32 = 4652683776
Therefore, the lowest common multiple of 202,624,769,909,512 is 4652683776.
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.
202 x 624 x 769 x 909 x 512 = 45112421892096
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.
202 : 1, 2, 101, 202
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
769 : 1, 769
909 : 1, 3, 9, 101, 303, 909
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,624,769,909,512, is 1.
Now, the common factors can be found like this.
202:2x 101
624:2x 2x 2x 2x 3x 13
769:769
909:3x 3x 101
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 3x 101 = 9696
Therefore, the value for common factors is 9696.
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 = 45112421892096/(1x9696)
LCM = 45112421892096/9696
LCM = 4652683776
Thus, we can understand that the LCM of 202,624,769,909,512 is 4652683776.
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FAQs on LCM of 202, 624, 769, 909, 512
1. What is the LCM of 202, 624, 769, 909, 512?
Answer: LCM of 202, 624, 769, 909, 512 is 4652683776.
2. How to calculate the LCM of 202, 624, 769, 909, 512?
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 202, 624, 769, 909, 512.
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}.