Find the LCM of 643, 643, 378, 276 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, 643, 378, 276. So, keep reading to learn more.
Given numbers are 643,643,378,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,643,378,276 is 11180484.
Find LCM of 643,643,378,276 with Prime Factorization
2 | 643, 643, 378, 276 |
3 | 643, 643, 189, 138 |
643 | 643, 643, 63, 46 |
1, 1, 63, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 643 x 1 x 1 x 63 x 46 = 11180484
Therefore, the lowest common multiple of 643,643,378,276 is 11180484.
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 643 x 378 x 276 = 43134307272
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
643 : 1, 643
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,643,378,276, is 1.
Now, the common factors can be found like this.
643:643
643:643
378:2x 3x 3x 3x 7
276:2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 643 = 3858
Therefore, the value for common factors is 3858.
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 = 43134307272/(1x3858)
LCM = 43134307272/3858
LCM = 11180484
Thus, we can understand that the LCM of 643,643,378,276 is 11180484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 643, 643, 378, 276?
Answer: LCM of 643, 643, 378, 276 is 11180484.
2. How to calculate the LCM of 643, 643, 378, 276?
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, 643, 378, 276.
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}.