Find the LCM of 279, 713, 916, 264, 948 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 279, 713, 916, 264, 948. So, keep reading to learn more.
Given numbers are 279,713,916,264,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,713,916,264,948 is 10215915336.
Find LCM of 279,713,916,264,948 with Prime Factorization
2 | 279, 713, 916, 264, 948 |
2 | 279, 713, 458, 132, 474 |
3 | 279, 713, 229, 66, 237 |
31 | 93, 713, 229, 22, 79 |
3, 23, 229, 22, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 3 x 23 x 229 x 22 x 79 = 10215915336
Therefore, the lowest common multiple of 279,713,916,264,948 is 10215915336.
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.
279 x 713 x 916 x 264 x 948 = 45603846059904
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.
279 : 1, 3, 9, 31, 93, 279
713 : 1, 23, 31, 713
916 : 1, 2, 4, 229, 458, 916
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,713,916,264,948, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
713:23x 31
916:2x 2x 229
264:2x 2x 2x 3x 11
948:2x 2x 3x 79
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 2x 2x 3x 3x 31 = 4464
Therefore, the value for common factors is 4464.
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 = 45603846059904/(1x4464)
LCM = 45603846059904/4464
LCM = 10215915336
Thus, we can understand that the LCM of 279,713,916,264,948 is 10215915336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 713, 916, 264, 948?
Answer: LCM of 279, 713, 916, 264, 948 is 10215915336.
2. How to calculate the LCM of 279, 713, 916, 264, 948?
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 279, 713, 916, 264, 948.
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}.