Find the LCM of 948, 299, 861, 553 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, 299, 861, 553. So, keep reading to learn more.
Given numbers are 948,299,861,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,299,861,553 is 81350724.
Find LCM of 948,299,861,553 with Prime Factorization
3 | 948, 299, 861, 553 |
7 | 316, 299, 287, 553 |
79 | 316, 299, 41, 79 |
4, 299, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 79 x 4 x 299 x 41 x 1 = 81350724
Therefore, the lowest common multiple of 948,299,861,553 is 81350724.
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 299 x 861 x 553 = 134960851116
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
299 : 1, 13, 23, 299
861 : 1, 3, 7, 21, 41, 123, 287, 861
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,299,861,553, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
299:13x 23
861:3x 7x 41
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 79 = 1659
Therefore, the value for common factors is 1659.
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 = 134960851116/(1x1659)
LCM = 134960851116/1659
LCM = 81350724
Thus, we can understand that the LCM of 948,299,861,553 is 81350724.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 948, 299, 861, 553?
Answer: LCM of 948, 299, 861, 553 is 81350724.
2. How to calculate the LCM of 948, 299, 861, 553?
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, 299, 861, 553.
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}.