Find the LCM of 948, 865, 541, 247, 790 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 948, 865, 541, 247, 790. So, keep reading to learn more.
Given numbers are 948,865,541,247,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,865,541,247,790 is 109576812540.
Find LCM of 948,865,541,247,790 with Prime Factorization
2 | 948, 865, 541, 247, 790 |
5 | 474, 865, 541, 247, 395 |
79 | 474, 173, 541, 247, 79 |
6, 173, 541, 247, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 79 x 6 x 173 x 541 x 247 x 1 = 109576812540
Therefore, the lowest common multiple of 948,865,541,247,790 is 109576812540.
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.
948 x 865 x 541 x 247 x 790 = 86565681906600
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
865 : 1, 5, 173, 865
541 : 1, 541
247 : 1, 13, 19, 247
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,865,541,247,790, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
865:5x 173
541:541
247:13x 19
790:2x 5x 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 5x 79 = 790
Therefore, the value for common factors is 790.
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 = 86565681906600/(1x790)
LCM = 86565681906600/790
LCM = 109576812540
Thus, we can understand that the LCM of 948,865,541,247,790 is 109576812540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 948, 865, 541, 247, 790?
Answer: LCM of 948, 865, 541, 247, 790 is 109576812540.
2. How to calculate the LCM of 948, 865, 541, 247, 790?
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 948, 865, 541, 247, 790.
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}.