LCM of 552, 874, 608, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 874, 608, 547 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 552, 874, 608, 547. So, keep reading to learn more.
Given numbers are 552,874,608,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,874,608,547 is 22947744.
Find LCM of 552,874,608,547 with Prime Factorization
| 2 | 552, 874, 608, 547 |
| 2 | 276, 437, 304, 547 |
| 2 | 138, 437, 152, 547 |
| 19 | 69, 437, 76, 547 |
| 23 | 69, 23, 4, 547 |
| 3, 1, 4, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 23 x 3 x 1 x 4 x 547 = 22947744
Therefore, the lowest common multiple of 552,874,608,547 is 22947744.
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.
552 x 874 x 608 x 547 = 160450626048
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
874 : 1, 2, 19, 23, 38, 46, 437, 874
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,874,608,547, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
874:2x 19x 23
608:2x 2x 2x 2x 2x 19
547:547
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 2x 19x 23 = 6992
Therefore, the value for common factors is 6992.
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 = 160450626048/(1x6992)
LCM = 160450626048/6992
LCM = 22947744
Thus, we can understand that the LCM of 552,874,608,547 is 22947744.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 552, 874, 608, 547
1. What is the LCM of 552, 874, 608, 547?
Answer: LCM of 552, 874, 608, 547 is 22947744.
2. How to calculate the LCM of 552, 874, 608, 547?
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 552, 874, 608, 547.
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}.