LCM of 558, 783, 655, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 783, 655, 957 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, 783, 655, 957. So, keep reading to learn more.
Given numbers are 558,783,655,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,783,655,957 is 349773930.
Find LCM of 558,783,655,957 with Prime Factorization
| 3 | 558, 783, 655, 957 |
| 3 | 186, 261, 655, 319 |
| 29 | 62, 87, 655, 319 |
| 62, 3, 655, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 62 x 3 x 655 x 11 = 349773930
Therefore, the lowest common multiple of 558,783,655,957 is 349773930.
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 783 x 655 x 957 = 273872987190
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
655 : 1, 5, 131, 655
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,783,655,957, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
783:3x 3x 3x 29
655:5x 131
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 29 = 783
Therefore, the value for common factors is 783.
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 = 273872987190/(1x783)
LCM = 273872987190/783
LCM = 349773930
Thus, we can understand that the LCM of 558,783,655,957 is 349773930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 783, 655, 957
1. What is the LCM of 558, 783, 655, 957?
Answer: LCM of 558, 783, 655, 957 is 349773930.
2. How to calculate the LCM of 558, 783, 655, 957?
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, 783, 655, 957.
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}.