LCM of 304, 862, 806, 584, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 862, 806, 584, 645 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, 862, 806, 584, 645. So, keep reading to learn more.
Given numbers are 304,862,806,584,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,862,806,584,645 is 2486213811120.
Find LCM of 304,862,806,584,645 with Prime Factorization
| 2 | 304, 862, 806, 584, 645 |
| 2 | 152, 431, 403, 292, 645 |
| 2 | 76, 431, 403, 146, 645 |
| 38, 431, 403, 73, 645 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 38 x 431 x 403 x 73 x 645 = 2486213811120
Therefore, the lowest common multiple of 304,862,806,584,645 is 2486213811120.
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 862 x 806 x 584 x 645 = 79558841955840
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
862 : 1, 2, 431, 862
806 : 1, 2, 13, 26, 31, 62, 403, 806
584 : 1, 2, 4, 8, 73, 146, 292, 584
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,862,806,584,645, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
862:2x 431
806:2x 13x 31
584:2x 2x 2x 73
645:3x 5x 43
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 2 = 32
Therefore, the value for common factors is 32.
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 = 79558841955840/(1x32)
LCM = 79558841955840/32
LCM = 2486213811120
Thus, we can understand that the LCM of 304,862,806,584,645 is 2486213811120.
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FAQs on LCM of 304, 862, 806, 584, 645
1. What is the LCM of 304, 862, 806, 584, 645?
Answer: LCM of 304, 862, 806, 584, 645 is 2486213811120.
2. How to calculate the LCM of 304, 862, 806, 584, 645?
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, 862, 806, 584, 645.
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}.