Find the LCM of 278, 264, 990, 821 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 278, 264, 990, 821. So, keep reading to learn more.
Given numbers are 278,264,990,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,264,990,821 is 451911240.
Find LCM of 278,264,990,821 with Prime Factorization
2 | 278, 264, 990, 821 |
3 | 139, 132, 495, 821 |
11 | 139, 44, 165, 821 |
139, 4, 15, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 139 x 4 x 15 x 821 = 451911240
Therefore, the lowest common multiple of 278,264,990,821 is 451911240.
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.
278 x 264 x 990 x 821 = 59652283680
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.
278 : 1, 2, 139, 278
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,264,990,821, is 1.
Now, the common factors can be found like this.
278:2x 139
264:2x 2x 2x 3x 11
990:2x 3x 3x 5x 11
821:821
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 = 59652283680/(1x132)
LCM = 59652283680/132
LCM = 451911240
Thus, we can understand that the LCM of 278,264,990,821 is 451911240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 264, 990, 821?
Answer: LCM of 278, 264, 990, 821 is 451911240.
2. How to calculate the LCM of 278, 264, 990, 821?
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 278, 264, 990, 821.
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}.