Find the LCM of 497, 927, 318, 568, 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 497, 927, 318, 568, 948. So, keep reading to learn more.
Given numbers are 497,927,318,568,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,927,318,568,948 is 15432243624.
Find LCM of 497,927,318,568,948 with Prime Factorization
2 | 497, 927, 318, 568, 948 |
2 | 497, 927, 159, 284, 474 |
3 | 497, 927, 159, 142, 237 |
71 | 497, 309, 53, 142, 79 |
7, 309, 53, 2, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 7 x 309 x 53 x 2 x 79 = 15432243624
Therefore, the lowest common multiple of 497,927,318,568,948 is 15432243624.
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.
497 x 927 x 318 x 568 x 948 = 78889629405888
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.
497 : 1, 7, 71, 497
927 : 1, 3, 9, 103, 309, 927
318 : 1, 2, 3, 6, 53, 106, 159, 318
568 : 1, 2, 4, 8, 71, 142, 284, 568
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 497,927,318,568,948, is 1.
Now, the common factors can be found like this.
497:7x 71
927:3x 3x 103
318:2x 3x 53
568:2x 2x 2x 71
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 71 = 5112
Therefore, the value for common factors is 5112.
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 = 78889629405888/(1x5112)
LCM = 78889629405888/5112
LCM = 15432243624
Thus, we can understand that the LCM of 497,927,318,568,948 is 15432243624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 927, 318, 568, 948?
Answer: LCM of 497, 927, 318, 568, 948 is 15432243624.
2. How to calculate the LCM of 497, 927, 318, 568, 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 497, 927, 318, 568, 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}.