LCM of 558, 276, 378, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 276, 378, 623 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, 276, 378, 623. So, keep reading to learn more.
Given numbers are 558,276,378,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,276,378,623 is 47973492.
Find LCM of 558,276,378,623 with Prime Factorization
| 2 | 558, 276, 378, 623 |
| 3 | 279, 138, 189, 623 |
| 3 | 93, 46, 63, 623 |
| 7 | 31, 46, 21, 623 |
| 31, 46, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 31 x 46 x 3 x 89 = 47973492
Therefore, the lowest common multiple of 558,276,378,623 is 47973492.
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 276 x 378 x 623 = 36267959952
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
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,276,378,623, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
276:2x 2x 3x 23
378:2x 3x 3x 3x 7
623:7x 89
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 36267959952/(1x756)
LCM = 36267959952/756
LCM = 47973492
Thus, we can understand that the LCM of 558,276,378,623 is 47973492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 276, 378, 623
1. What is the LCM of 558, 276, 378, 623?
Answer: LCM of 558, 276, 378, 623 is 47973492.
2. How to calculate the LCM of 558, 276, 378, 623?
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, 276, 378, 623.
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}.