LCM of 951, 638, 261, 773, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 638, 261, 773, 643 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 951, 638, 261, 773, 643. So, keep reading to learn more.
Given numbers are 951,638,261,773,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,638,261,773,643 is 904717346346.
Find LCM of 951,638,261,773,643 with Prime Factorization
| 3 | 951, 638, 261, 773, 643 |
| 29 | 317, 638, 87, 773, 643 |
| 317, 22, 3, 773, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 317 x 22 x 3 x 773 x 643 = 904717346346
Therefore, the lowest common multiple of 951,638,261,773,643 is 904717346346.
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.
951 x 638 x 261 x 773 x 643 = 78710409132102
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.
951 : 1, 3, 317, 951
638 : 1, 2, 11, 22, 29, 58, 319, 638
261 : 1, 3, 9, 29, 87, 261
773 : 1, 773
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,638,261,773,643, is 1.
Now, the common factors can be found like this.
951:3x 317
638:2x 11x 29
261:3x 3x 29
773:773
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29 = 87
Therefore, the value for common factors is 87.
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 = 78710409132102/(1x87)
LCM = 78710409132102/87
LCM = 904717346346
Thus, we can understand that the LCM of 951,638,261,773,643 is 904717346346.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 951, 638, 261, 773, 643
1. What is the LCM of 951, 638, 261, 773, 643?
Answer: LCM of 951, 638, 261, 773, 643 is 904717346346.
2. How to calculate the LCM of 951, 638, 261, 773, 643?
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 951, 638, 261, 773, 643.
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}.