LCM of 373, 940, 880, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 940, 880, 566 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 373, 940, 880, 566. So, keep reading to learn more.
Given numbers are 373,940,880,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,940,880,566 is 4365920240.
Find LCM of 373,940,880,566 with Prime Factorization
| 2 | 373, 940, 880, 566 |
| 2 | 373, 470, 440, 283 |
| 5 | 373, 235, 220, 283 |
| 373, 47, 44, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 373 x 47 x 44 x 283 = 4365920240
Therefore, the lowest common multiple of 373,940,880,566 is 4365920240.
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.
373 x 940 x 880 x 566 = 174636809600
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.
373 : 1, 373
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,940,880,566, is 1.
Now, the common factors can be found like this.
373:373
940:2x 2x 5x 47
880:2x 2x 2x 2x 5x 11
566:2x 283
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 5 = 40
Therefore, the value for common factors is 40.
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 = 174636809600/(1x40)
LCM = 174636809600/40
LCM = 4365920240
Thus, we can understand that the LCM of 373,940,880,566 is 4365920240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 940, 880, 566
1. What is the LCM of 373, 940, 880, 566?
Answer: LCM of 373, 940, 880, 566 is 4365920240.
2. How to calculate the LCM of 373, 940, 880, 566?
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 373, 940, 880, 566.
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}.