LCM of 643, 561, 456, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 561, 456, 748 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, 561, 456, 748. So, keep reading to learn more.
Given numbers are 643,561,456,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,561,456,748 is 54829896.
Find LCM of 643,561,456,748 with Prime Factorization
| 2 | 643, 561, 456, 748 |
| 2 | 643, 561, 228, 374 |
| 3 | 643, 561, 114, 187 |
| 11 | 643, 187, 38, 187 |
| 17 | 643, 17, 38, 17 |
| 643, 1, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 643 x 1 x 38 x 1 = 54829896
Therefore, the lowest common multiple of 643,561,456,748 is 54829896.
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 561 x 456 x 748 = 123038286624
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,561,456,748, is 1.
Now, the common factors can be found like this.
643:643
561:3x 11x 17
456:2x 2x 2x 3x 19
748:2x 2x 11x 17
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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 123038286624/(1x2244)
LCM = 123038286624/2244
LCM = 54829896
Thus, we can understand that the LCM of 643,561,456,748 is 54829896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 643, 561, 456, 748
1. What is the LCM of 643, 561, 456, 748?
Answer: LCM of 643, 561, 456, 748 is 54829896.
2. How to calculate the LCM of 643, 561, 456, 748?
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, 561, 456, 748.
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}.