Find the LCM of 318, 183, 548, 869, 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 318, 183, 548, 869, 948. So, keep reading to learn more.
Given numbers are 318,183,548,869,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,183,548,869,948 is 4618780188.
Find LCM of 318,183,548,869,948 with Prime Factorization
2 | 318, 183, 548, 869, 948 |
2 | 159, 183, 274, 869, 474 |
3 | 159, 183, 137, 869, 237 |
79 | 53, 61, 137, 869, 79 |
53, 61, 137, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 53 x 61 x 137 x 11 x 1 = 4618780188
Therefore, the lowest common multiple of 318,183,548,869,948 is 4618780188.
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.
318 x 183 x 548 x 869 x 948 = 26271621709344
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
183 : 1, 3, 61, 183
548 : 1, 2, 4, 137, 274, 548
869 : 1, 11, 79, 869
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 318,183,548,869,948, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
183:3x 61
548:2x 2x 137
869:11x 79
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 3x 3x 79 = 5688
Therefore, the value for common factors is 5688.
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 = 26271621709344/(1x5688)
LCM = 26271621709344/5688
LCM = 4618780188
Thus, we can understand that the LCM of 318,183,548,869,948 is 4618780188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 183, 548, 869, 948?
Answer: LCM of 318, 183, 548, 869, 948 is 4618780188.
2. How to calculate the LCM of 318, 183, 548, 869, 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 318, 183, 548, 869, 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}.