LCM of 554, 957, 667, 597, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 957, 667, 597, 575 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 554, 957, 667, 597, 575. So, keep reading to learn more.
Given numbers are 554,957,667,597,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,957,667,597,575 is 60665617650.
Find LCM of 554,957,667,597,575 with Prime Factorization
| 3 | 554, 957, 667, 597, 575 |
| 23 | 554, 319, 667, 199, 575 |
| 29 | 554, 319, 29, 199, 25 |
| 554, 11, 1, 199, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 29 x 554 x 11 x 1 x 199 x 25 = 60665617650
Therefore, the lowest common multiple of 554,957,667,597,575 is 60665617650.
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.
554 x 957 x 667 x 597 x 575 = 121391900917650
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.
554 : 1, 2, 277, 554
957 : 1, 3, 11, 29, 33, 87, 319, 957
667 : 1, 23, 29, 667
597 : 1, 3, 199, 597
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,957,667,597,575, is 1.
Now, the common factors can be found like this.
554:2x 277
957:3x 11x 29
667:23x 29
597:3x 199
575:5x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 29 = 2001
Therefore, the value for common factors is 2001.
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 = 121391900917650/(1x2001)
LCM = 121391900917650/2001
LCM = 60665617650
Thus, we can understand that the LCM of 554,957,667,597,575 is 60665617650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 554, 957, 667, 597, 575
1. What is the LCM of 554, 957, 667, 597, 575?
Answer: LCM of 554, 957, 667, 597, 575 is 60665617650.
2. How to calculate the LCM of 554, 957, 667, 597, 575?
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 554, 957, 667, 597, 575.
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}.