LCM of 306, 612, 349, 524, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 612, 349, 524, 862 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 306, 612, 349, 524, 862. So, keep reading to learn more.
Given numbers are 306,612,349,524,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,612,349,524,862 is 12059392068.
Find LCM of 306,612,349,524,862 with Prime Factorization
| 2 | 306, 612, 349, 524, 862 |
| 2 | 153, 306, 349, 262, 431 |
| 3 | 153, 153, 349, 131, 431 |
| 3 | 51, 51, 349, 131, 431 |
| 17 | 17, 17, 349, 131, 431 |
| 1, 1, 349, 131, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 1 x 349 x 131 x 431 = 12059392068
Therefore, the lowest common multiple of 306,612,349,524,862 is 12059392068.
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.
306 x 612 x 349 x 524 x 862 = 29521391782464
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
349 : 1, 349
524 : 1, 2, 4, 131, 262, 524
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,612,349,524,862, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
612:2x 2x 3x 3x 17
349:349
524:2x 2x 131
862:2x 431
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 17 = 2448
Therefore, the value for common factors is 2448.
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 = 29521391782464/(1x2448)
LCM = 29521391782464/2448
LCM = 12059392068
Thus, we can understand that the LCM of 306,612,349,524,862 is 12059392068.
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FAQs on LCM of 306, 612, 349, 524, 862
1. What is the LCM of 306, 612, 349, 524, 862?
Answer: LCM of 306, 612, 349, 524, 862 is 12059392068.
2. How to calculate the LCM of 306, 612, 349, 524, 862?
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 306, 612, 349, 524, 862.
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}.