LCM of 558, 263, 844, 420, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 263, 844, 420, 315 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 558, 263, 844, 420, 315. So, keep reading to learn more.
Given numbers are 558,263,844,420,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,263,844,420,315 is 2167556580.
Find LCM of 558,263,844,420,315 with Prime Factorization
| 2 | 558, 263, 844, 420, 315 |
| 2 | 279, 263, 422, 210, 315 |
| 3 | 279, 263, 211, 105, 315 |
| 3 | 93, 263, 211, 35, 105 |
| 5 | 31, 263, 211, 35, 35 |
| 7 | 31, 263, 211, 7, 7 |
| 31, 263, 211, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 31 x 263 x 211 x 1 x 1 = 2167556580
Therefore, the lowest common multiple of 558,263,844,420,315 is 2167556580.
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.
558 x 263 x 844 x 420 x 315 = 16386727744800
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
263 : 1, 263
844 : 1, 2, 4, 211, 422, 844
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,263,844,420,315, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
263:263
844:2x 2x 211
420:2x 2x 3x 5x 7
315:3x 3x 5x 7
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 3x 3x 3x 5x 7 = 7560
Therefore, the value for common factors is 7560.
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 = 16386727744800/(1x7560)
LCM = 16386727744800/7560
LCM = 2167556580
Thus, we can understand that the LCM of 558,263,844,420,315 is 2167556580.
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FAQs on LCM of 558, 263, 844, 420, 315
1. What is the LCM of 558, 263, 844, 420, 315?
Answer: LCM of 558, 263, 844, 420, 315 is 2167556580.
2. How to calculate the LCM of 558, 263, 844, 420, 315?
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 558, 263, 844, 420, 315.
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}.