LCM of 856, 246, 502, 928, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 246, 502, 928, 753 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 856, 246, 502, 928, 753. So, keep reading to learn more.
Given numbers are 856,246,502,928,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,246,502,928,753 is 3065565408.
Find LCM of 856,246,502,928,753 with Prime Factorization
| 2 | 856, 246, 502, 928, 753 |
| 2 | 428, 123, 251, 464, 753 |
| 2 | 214, 123, 251, 232, 753 |
| 3 | 107, 123, 251, 116, 753 |
| 251 | 107, 41, 251, 116, 251 |
| 107, 41, 1, 116, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 251 x 107 x 41 x 1 x 116 x 1 = 3065565408
Therefore, the lowest common multiple of 856,246,502,928,753 is 3065565408.
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.
856 x 246 x 502 x 928 x 753 = 73867864071168
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
246 : 1, 2, 3, 6, 41, 82, 123, 246
502 : 1, 2, 251, 502
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,246,502,928,753, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
246:2x 3x 41
502:2x 251
928:2x 2x 2x 2x 2x 29
753:3x 251
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 251 = 24096
Therefore, the value for common factors is 24096.
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 = 73867864071168/(1x24096)
LCM = 73867864071168/24096
LCM = 3065565408
Thus, we can understand that the LCM of 856,246,502,928,753 is 3065565408.
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FAQs on LCM of 856, 246, 502, 928, 753
1. What is the LCM of 856, 246, 502, 928, 753?
Answer: LCM of 856, 246, 502, 928, 753 is 3065565408.
2. How to calculate the LCM of 856, 246, 502, 928, 753?
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 856, 246, 502, 928, 753.
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}.