LCM of 261, 596, 819, 312, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 596, 819, 312, 900 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 261, 596, 819, 312, 900. So, keep reading to learn more.
Given numbers are 261,596,819,312,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,596,819,312,900 is 707779800.
Find LCM of 261,596,819,312,900 with Prime Factorization
| 2 | 261, 596, 819, 312, 900 |
| 2 | 261, 298, 819, 156, 450 |
| 3 | 261, 149, 819, 78, 225 |
| 3 | 87, 149, 273, 26, 75 |
| 13 | 29, 149, 91, 26, 25 |
| 29, 149, 7, 2, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 29 x 149 x 7 x 2 x 25 = 707779800
Therefore, the lowest common multiple of 261,596,819,312,900 is 707779800.
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.
261 x 596 x 819 x 312 x 900 = 35774022211200
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.
261 : 1, 3, 9, 29, 87, 261
596 : 1, 2, 4, 149, 298, 596
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,596,819,312,900, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
596:2x 2x 149
819:3x 3x 7x 13
312:2x 2x 2x 3x 13
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 13 = 50544
Therefore, the value for common factors is 50544.
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 = 35774022211200/(1x50544)
LCM = 35774022211200/50544
LCM = 707779800
Thus, we can understand that the LCM of 261,596,819,312,900 is 707779800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 261, 596, 819, 312, 900
1. What is the LCM of 261, 596, 819, 312, 900?
Answer: LCM of 261, 596, 819, 312, 900 is 707779800.
2. How to calculate the LCM of 261, 596, 819, 312, 900?
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 261, 596, 819, 312, 900.
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}.