LCM of 771, 120, 368, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 120, 368, 580 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 771, 120, 368, 580. So, keep reading to learn more.
Given numbers are 771,120,368,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,120,368,580 is 41140560.
Find LCM of 771,120,368,580 with Prime Factorization
| 2 | 771, 120, 368, 580 |
| 2 | 771, 60, 184, 290 |
| 2 | 771, 30, 92, 145 |
| 3 | 771, 15, 46, 145 |
| 5 | 257, 5, 46, 145 |
| 257, 1, 46, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 257 x 1 x 46 x 29 = 41140560
Therefore, the lowest common multiple of 771,120,368,580 is 41140560.
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.
771 x 120 x 368 x 580 = 19747468800
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.
771 : 1, 3, 257, 771
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,120,368,580, is 1.
Now, the common factors can be found like this.
771:3x 257
120:2x 2x 2x 3x 5
368:2x 2x 2x 2x 23
580:2x 2x 5x 29
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 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 19747468800/(1x480)
LCM = 19747468800/480
LCM = 41140560
Thus, we can understand that the LCM of 771,120,368,580 is 41140560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 120, 368, 580
1. What is the LCM of 771, 120, 368, 580?
Answer: LCM of 771, 120, 368, 580 is 41140560.
2. How to calculate the LCM of 771, 120, 368, 580?
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 771, 120, 368, 580.
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}.