LCM of 508, 676, 442, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 676, 442, 760 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 508, 676, 442, 760. So, keep reading to learn more.
Given numbers are 508,676,442,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,676,442,760 is 277301960.
Find LCM of 508,676,442,760 with Prime Factorization
| 2 | 508, 676, 442, 760 |
| 2 | 254, 338, 221, 380 |
| 13 | 127, 169, 221, 190 |
| 127, 13, 17, 190 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 127 x 13 x 17 x 190 = 277301960
Therefore, the lowest common multiple of 508,676,442,760 is 277301960.
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.
508 x 676 x 442 x 760 = 115357615360
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.
508 : 1, 2, 4, 127, 254, 508
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
442 : 1, 2, 13, 17, 26, 34, 221, 442
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,676,442,760, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
676:2x 2x 13x 13
442:2x 13x 17
760:2x 2x 2x 5x 19
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 13 = 208
Therefore, the value for common factors is 208.
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 = 115357615360/(2x208)
LCM = 115357615360/416
LCM = 277301960
Thus, we can understand that the LCM of 508,676,442,760 is 277301960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 676, 442, 760
1. What is the LCM of 508, 676, 442, 760?
Answer: LCM of 508, 676, 442, 760 is 277301960.
2. How to calculate the LCM of 508, 676, 442, 760?
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 508, 676, 442, 760.
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}.