LCM of 304, 786, 253, 762, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 786, 253, 762, 969 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 304, 786, 253, 762, 969. So, keep reading to learn more.
Given numbers are 304,786,253,762,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,786,253,762,969 is 65258832144.
Find LCM of 304,786,253,762,969 with Prime Factorization
| 2 | 304, 786, 253, 762, 969 |
| 3 | 152, 393, 253, 381, 969 |
| 19 | 152, 131, 253, 127, 323 |
| 8, 131, 253, 127, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 8 x 131 x 253 x 127 x 17 = 65258832144
Therefore, the lowest common multiple of 304,786,253,762,969 is 65258832144.
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.
304 x 786 x 253 x 762 x 969 = 44637041186496
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
786 : 1, 2, 3, 6, 131, 262, 393, 786
253 : 1, 11, 23, 253
762 : 1, 2, 3, 6, 127, 254, 381, 762
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,786,253,762,969, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
786:2x 3x 131
253:11x 23
762:2x 3x 127
969:3x 17x 19
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 19 = 684
Therefore, the value for common factors is 684.
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 = 44637041186496/(1x684)
LCM = 44637041186496/684
LCM = 65258832144
Thus, we can understand that the LCM of 304,786,253,762,969 is 65258832144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 786, 253, 762, 969
1. What is the LCM of 304, 786, 253, 762, 969?
Answer: LCM of 304, 786, 253, 762, 969 is 65258832144.
2. How to calculate the LCM of 304, 786, 253, 762, 969?
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 304, 786, 253, 762, 969.
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}.