LCM of 523, 900, 918, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 900, 918, 910 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, 900, 918, 910. So, keep reading to learn more.
Given numbers are 523,900,918,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,900,918,910 is 2184518700.
Find LCM of 523,900,918,910 with Prime Factorization
| 2 | 523, 900, 918, 910 |
| 3 | 523, 450, 459, 455 |
| 3 | 523, 150, 153, 455 |
| 5 | 523, 50, 51, 455 |
| 523, 10, 51, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 523 x 10 x 51 x 91 = 2184518700
Therefore, the lowest common multiple of 523,900,918,910 is 2184518700.
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 900 x 918 x 910 = 393213366000
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
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,900,918,910, is 1.
Now, the common factors can be found like this.
523:523
900:2x 2x 3x 3x 5x 5
918:2x 3x 3x 3x 17
910:2x 5x 7x 13
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 393213366000/(1x180)
LCM = 393213366000/180
LCM = 2184518700
Thus, we can understand that the LCM of 523,900,918,910 is 2184518700.
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FAQs on LCM of 523, 900, 918, 910
1. What is the LCM of 523, 900, 918, 910?
Answer: LCM of 523, 900, 918, 910 is 2184518700.
2. How to calculate the LCM of 523, 900, 918, 910?
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, 900, 918, 910.
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}.