LCM of 558, 503, 798, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 503, 798, 456 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, 503, 798, 456. So, keep reading to learn more.
Given numbers are 558,503,798,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,503,798,456 is 149318568.
Find LCM of 558,503,798,456 with Prime Factorization
| 2 | 558, 503, 798, 456 |
| 3 | 279, 503, 399, 228 |
| 19 | 93, 503, 133, 76 |
| 93, 503, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 93 x 503 x 7 x 4 = 149318568
Therefore, the lowest common multiple of 558,503,798,456 is 149318568.
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 503 x 798 x 456 = 102133900512
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
503 : 1, 503
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,503,798,456, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
503:503
798:2x 3x 7x 19
456:2x 2x 2x 3x 19
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 102133900512/(1x684)
LCM = 102133900512/684
LCM = 149318568
Thus, we can understand that the LCM of 558,503,798,456 is 149318568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 503, 798, 456
1. What is the LCM of 558, 503, 798, 456?
Answer: LCM of 558, 503, 798, 456 is 149318568.
2. How to calculate the LCM of 558, 503, 798, 456?
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, 503, 798, 456.
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}.