LCM of 643, 778, 642, 921, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 643, 778, 642, 921, 384 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, 778, 642, 921, 384. So, keep reading to learn more.
Given numbers are 643,778,642,921,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 643,778,642,921,384 is 3155105980032.
Find LCM of 643,778,642,921,384 with Prime Factorization
| 2 | 643, 778, 642, 921, 384 |
| 3 | 643, 389, 321, 921, 192 |
| 643, 389, 107, 307, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 643 x 389 x 107 x 307 x 64 = 3155105980032
Therefore, the lowest common multiple of 643,778,642,921,384 is 3155105980032.
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 778 x 642 x 921 x 384 = 113583815281152
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
778 : 1, 2, 389, 778
642 : 1, 2, 3, 6, 107, 214, 321, 642
921 : 1, 3, 307, 921
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,778,642,921,384, is 1.
Now, the common factors can be found like this.
643:643
778:2x 389
642:2x 3x 107
921:3x 307
384:2x 2x 2x 2x 2x 2x 2x 3
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 3 = 36
Therefore, the value for common factors is 36.
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 = 113583815281152/(1x36)
LCM = 113583815281152/36
LCM = 3155105980032
Thus, we can understand that the LCM of 643,778,642,921,384 is 3155105980032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 643, 778, 642, 921, 384
1. What is the LCM of 643, 778, 642, 921, 384?
Answer: LCM of 643, 778, 642, 921, 384 is 3155105980032.
2. How to calculate the LCM of 643, 778, 642, 921, 384?
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, 778, 642, 921, 384.
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}.