LCM of 396, 535, 649, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 535, 649, 880 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 396, 535, 649, 880. So, keep reading to learn more.
Given numbers are 396,535,649,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,535,649,880 is 49998960.
Find LCM of 396,535,649,880 with Prime Factorization
| 2 | 396, 535, 649, 880 |
| 2 | 198, 535, 649, 440 |
| 5 | 99, 535, 649, 220 |
| 11 | 99, 107, 649, 44 |
| 9, 107, 59, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 9 x 107 x 59 x 4 = 49998960
Therefore, the lowest common multiple of 396,535,649,880 is 49998960.
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.
396 x 535 x 649 x 880 = 120997483200
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
535 : 1, 5, 107, 535
649 : 1, 11, 59, 649
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,535,649,880, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
535:5x 107
649:11x 59
880:2x 2x 2x 2x 5x 11
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 5x 11x 11 = 2420
Therefore, the value for common factors is 2420.
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 = 120997483200/(1x2420)
LCM = 120997483200/2420
LCM = 49998960
Thus, we can understand that the LCM of 396,535,649,880 is 49998960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 396, 535, 649, 880
1. What is the LCM of 396, 535, 649, 880?
Answer: LCM of 396, 535, 649, 880 is 49998960.
2. How to calculate the LCM of 396, 535, 649, 880?
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 396, 535, 649, 880.
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}.