LCM of 766, 786, 754, 406, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 786, 754, 406, 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 766, 786, 754, 406, 580. So, keep reading to learn more.
Given numbers are 766,786,754,406,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,786,754,406,580 is 7944392820.
Find LCM of 766,786,754,406,580 with Prime Factorization
| 2 | 766, 786, 754, 406, 580 |
| 29 | 383, 393, 377, 203, 290 |
| 383, 393, 13, 7, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 383 x 393 x 13 x 7 x 10 = 7944392820
Therefore, the lowest common multiple of 766,786,754,406,580 is 7944392820.
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.
766 x 786 x 754 x 406 x 580 = 106899749785920
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.
766 : 1, 2, 383, 766
786 : 1, 2, 3, 6, 131, 262, 393, 786
754 : 1, 2, 13, 26, 29, 58, 377, 754
406 : 1, 2, 7, 14, 29, 58, 203, 406
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,786,754,406,580, is 2.
Now, the common factors can be found like this.
766:2x 383
786:2x 3x 131
754:2x 13x 29
406:2x 7x 29
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 29x 29 = 6728
Therefore, the value for common factors is 6728.
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 = 106899749785920/(2x6728)
LCM = 106899749785920/13456
LCM = 7944392820
Thus, we can understand that the LCM of 766,786,754,406,580 is 7944392820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 786, 754, 406, 580
1. What is the LCM of 766, 786, 754, 406, 580?
Answer: LCM of 766, 786, 754, 406, 580 is 7944392820.
2. How to calculate the LCM of 766, 786, 754, 406, 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 766, 786, 754, 406, 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}.