LCM of 523, 630, 630, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 630, 630, 913 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 523, 630, 630, 913. So, keep reading to learn more.
Given numbers are 523,630,630,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,630,630,913 is 300824370.
Find LCM of 523,630,630,913 with Prime Factorization
| 2 | 523, 630, 630, 913 |
| 3 | 523, 315, 315, 913 |
| 3 | 523, 105, 105, 913 |
| 5 | 523, 35, 35, 913 |
| 7 | 523, 7, 7, 913 |
| 523, 1, 1, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 523 x 1 x 1 x 913 = 300824370
Therefore, the lowest common multiple of 523,630,630,913 is 300824370.
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.
523 x 630 x 630 x 913 = 189519353100
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.
523 : 1, 523
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,630,630,913, is 1.
Now, the common factors can be found like this.
523:523
630:2x 3x 3x 5x 7
630:2x 3x 3x 5x 7
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 189519353100/(1x630)
LCM = 189519353100/630
LCM = 300824370
Thus, we can understand that the LCM of 523,630,630,913 is 300824370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 630, 630, 913
1. What is the LCM of 523, 630, 630, 913?
Answer: LCM of 523, 630, 630, 913 is 300824370.
2. How to calculate the LCM of 523, 630, 630, 913?
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 523, 630, 630, 913.
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}.