LCM of 822, 638, 649, 140, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 638, 649, 140, 327 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 822, 638, 649, 140, 327. So, keep reading to learn more.
Given numbers are 822,638,649,140,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,638,649,140,327 is 118042677060.
Find LCM of 822,638,649,140,327 with Prime Factorization
| 2 | 822, 638, 649, 140, 327 |
| 3 | 411, 319, 649, 70, 327 |
| 11 | 137, 319, 649, 70, 109 |
| 137, 29, 59, 70, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 29 x 59 x 70 x 109 = 118042677060
Therefore, the lowest common multiple of 822,638,649,140,327 is 118042677060.
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.
822 x 638 x 649 x 140 x 327 = 15581633371920
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
638 : 1, 2, 11, 22, 29, 58, 319, 638
649 : 1, 11, 59, 649
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,638,649,140,327, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
638:2x 11x 29
649:11x 59
140:2x 2x 5x 7
327:3x 109
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 11 = 132
Therefore, the value for common factors is 132.
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 = 15581633371920/(1x132)
LCM = 15581633371920/132
LCM = 118042677060
Thus, we can understand that the LCM of 822,638,649,140,327 is 118042677060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 638, 649, 140, 327
1. What is the LCM of 822, 638, 649, 140, 327?
Answer: LCM of 822, 638, 649, 140, 327 is 118042677060.
2. How to calculate the LCM of 822, 638, 649, 140, 327?
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 822, 638, 649, 140, 327.
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}.