LCM of 547, 901, 547, 748, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 901, 547, 748, 544 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 547, 901, 547, 748, 544. So, keep reading to learn more.
Given numbers are 547,901,547,748,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,901,547,748,544 is 173482144.
Find LCM of 547,901,547,748,544 with Prime Factorization
| 2 | 547, 901, 547, 748, 544 |
| 2 | 547, 901, 547, 374, 272 |
| 17 | 547, 901, 547, 187, 136 |
| 547 | 547, 53, 547, 11, 8 |
| 1, 53, 1, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 547 x 1 x 53 x 1 x 11 x 8 = 173482144
Therefore, the lowest common multiple of 547,901,547,748,544 is 173482144.
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.
547 x 901 x 547 x 748 x 544 = 109698311079808
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.
547 : 1, 547
901 : 1, 17, 53, 901
547 : 1, 547
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,901,547,748,544, is 1.
Now, the common factors can be found like this.
547:547
901:17x 53
547:547
748:2x 2x 11x 17
544:2x 2x 2x 2x 2x 17
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 17x 17x 547 = 632332
Therefore, the value for common factors is 632332.
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 = 109698311079808/(1x632332)
LCM = 109698311079808/632332
LCM = 173482144
Thus, we can understand that the LCM of 547,901,547,748,544 is 173482144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 547, 901, 547, 748, 544
1. What is the LCM of 547, 901, 547, 748, 544?
Answer: LCM of 547, 901, 547, 748, 544 is 173482144.
2. How to calculate the LCM of 547, 901, 547, 748, 544?
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 547, 901, 547, 748, 544.
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}.