LCM of 261, 534, 705, 300, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 534, 705, 300, 979 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, 534, 705, 300, 979. So, keep reading to learn more.
Given numbers are 261,534,705,300,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,534,705,300,979 is 1200939300.
Find LCM of 261,534,705,300,979 with Prime Factorization
| 2 | 261, 534, 705, 300, 979 |
| 3 | 261, 267, 705, 150, 979 |
| 5 | 87, 89, 235, 50, 979 |
| 89 | 87, 89, 47, 10, 979 |
| 87, 1, 47, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 87 x 1 x 47 x 10 x 11 = 1200939300
Therefore, the lowest common multiple of 261,534,705,300,979 is 1200939300.
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 534 x 705 x 300 x 979 = 28858571379000
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
534 : 1, 2, 3, 6, 89, 178, 267, 534
705 : 1, 3, 5, 15, 47, 141, 235, 705
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,534,705,300,979, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
534:2x 3x 89
705:3x 5x 47
300:2x 2x 3x 5x 5
979:11x 89
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 3x 5x 89 = 24030
Therefore, the value for common factors is 24030.
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 = 28858571379000/(1x24030)
LCM = 28858571379000/24030
LCM = 1200939300
Thus, we can understand that the LCM of 261,534,705,300,979 is 1200939300.
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FAQs on LCM of 261, 534, 705, 300, 979
1. What is the LCM of 261, 534, 705, 300, 979?
Answer: LCM of 261, 534, 705, 300, 979 is 1200939300.
2. How to calculate the LCM of 261, 534, 705, 300, 979?
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, 534, 705, 300, 979.
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}.