LCM of 553, 948, 106, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 948, 106, 779 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 553, 948, 106, 779. So, keep reading to learn more.
Given numbers are 553,948,106,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,948,106,779 is 273980532.
Find LCM of 553,948,106,779 with Prime Factorization
| 2 | 553, 948, 106, 779 |
| 79 | 553, 474, 53, 779 |
| 7, 6, 53, 779 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 7 x 6 x 53 x 779 = 273980532
Therefore, the lowest common multiple of 553,948,106,779 is 273980532.
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.
553 x 948 x 106 x 779 = 43288924056
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.
553 : 1, 7, 79, 553
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
106 : 1, 2, 53, 106
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,948,106,779, is 1.
Now, the common factors can be found like this.
553:7x 79
948:2x 2x 3x 79
106:2x 53
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 43288924056/(1x158)
LCM = 43288924056/158
LCM = 273980532
Thus, we can understand that the LCM of 553,948,106,779 is 273980532.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 948, 106, 779
1. What is the LCM of 553, 948, 106, 779?
Answer: LCM of 553, 948, 106, 779 is 273980532.
2. How to calculate the LCM of 553, 948, 106, 779?
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 553, 948, 106, 779.
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}.