Find the LCM of 999, 535, 878, 749 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 999, 535, 878, 749. So, keep reading to learn more.
Given numbers are 999,535,878,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,535,878,749 is 3284821890.
Find LCM of 999,535,878,749 with Prime Factorization
107 | 999, 535, 878, 749 |
999, 5, 878, 7 |
Multiply the prime numbers at the bottom and the left side.
107 x 999 x 5 x 878 x 7 = 3284821890
Therefore, the lowest common multiple of 999,535,878,749 is 3284821890.
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.
999 x 535 x 878 x 749 = 351475942230
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
535 : 1, 5, 107, 535
878 : 1, 2, 439, 878
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,535,878,749, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
535:5x 107
878:2x 439
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 351475942230/(1x107)
LCM = 351475942230/107
LCM = 3284821890
Thus, we can understand that the LCM of 999,535,878,749 is 3284821890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 999, 535, 878, 749?
Answer: LCM of 999, 535, 878, 749 is 3284821890.
2. How to calculate the LCM of 999, 535, 878, 749?
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 999, 535, 878, 749.
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}.