LCM of 643, 802, 734, 936, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 802, 734, 936, 286 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 643, 802, 734, 936, 286. So, keep reading to learn more.
Given numbers are 643,802,734,936,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,802,734,936,286 is 974293810776.
Find LCM of 643,802,734,936,286 with Prime Factorization
| 2 | 643, 802, 734, 936, 286 |
| 13 | 643, 401, 367, 468, 143 |
| 643, 401, 367, 36, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 643 x 401 x 367 x 36 x 11 = 974293810776
Therefore, the lowest common multiple of 643,802,734,936,286 is 974293810776.
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.
643 x 802 x 734 x 936 x 286 = 101326556320704
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.
643 : 1, 643
802 : 1, 2, 401, 802
734 : 1, 2, 367, 734
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,802,734,936,286, is 1.
Now, the common factors can be found like this.
643:643
802:2x 401
734:2x 367
936:2x 2x 2x 3x 3x 13
286:2x 11x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 101326556320704/(1x104)
LCM = 101326556320704/104
LCM = 974293810776
Thus, we can understand that the LCM of 643,802,734,936,286 is 974293810776.
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FAQs on LCM of 643, 802, 734, 936, 286
1. What is the LCM of 643, 802, 734, 936, 286?
Answer: LCM of 643, 802, 734, 936, 286 is 974293810776.
2. How to calculate the LCM of 643, 802, 734, 936, 286?
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 643, 802, 734, 936, 286.
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}.