LCM of 294, 306, 510, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 306, 510, 909 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 294, 306, 510, 909. So, keep reading to learn more.
Given numbers are 294,306,510,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,306,510,909 is 7571970.
Find LCM of 294,306,510,909 with Prime Factorization
| 2 | 294, 306, 510, 909 |
| 3 | 147, 153, 255, 909 |
| 3 | 49, 51, 85, 303 |
| 17 | 49, 17, 85, 101 |
| 49, 1, 5, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 49 x 1 x 5 x 101 = 7571970
Therefore, the lowest common multiple of 294,306,510,909 is 7571970.
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.
294 x 306 x 510 x 909 = 41706410760
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
909 : 1, 3, 9, 101, 303, 909
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,306,510,909, is 3.
Now, the common factors can be found like this.
294:2x 3x 7x 7
306:2x 3x 3x 17
510:2x 3x 5x 17
909:3x 3x 101
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 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 41706410760/(3x1836)
LCM = 41706410760/5508
LCM = 7571970
Thus, we can understand that the LCM of 294,306,510,909 is 7571970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 294, 306, 510, 909
1. What is the LCM of 294, 306, 510, 909?
Answer: LCM of 294, 306, 510, 909 is 7571970.
2. How to calculate the LCM of 294, 306, 510, 909?
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 294, 306, 510, 909.
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}.