LCM of 508, 286, 608, 711, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 286, 608, 711, 680 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, 286, 608, 711, 680. So, keep reading to learn more.
Given numbers are 508,286,608,711,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,286,608,711,680 is 667316501280.
Find LCM of 508,286,608,711,680 with Prime Factorization
| 2 | 508, 286, 608, 711, 680 |
| 2 | 254, 143, 304, 711, 340 |
| 2 | 127, 143, 152, 711, 170 |
| 127, 143, 76, 711, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 143 x 76 x 711 x 85 = 667316501280
Therefore, the lowest common multiple of 508,286,608,711,680 is 667316501280.
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 286 x 608 x 711 x 680 = 42708256081920
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
711 : 1, 3, 9, 79, 237, 711
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,286,608,711,680, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
286:2x 11x 13
608:2x 2x 2x 2x 2x 19
711:3x 3x 79
680:2x 2x 2x 5x 17
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 2 = 64
Therefore, the value for common factors is 64.
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 = 42708256081920/(1x64)
LCM = 42708256081920/64
LCM = 667316501280
Thus, we can understand that the LCM of 508,286,608,711,680 is 667316501280.
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FAQs on LCM of 508, 286, 608, 711, 680
1. What is the LCM of 508, 286, 608, 711, 680?
Answer: LCM of 508, 286, 608, 711, 680 is 667316501280.
2. How to calculate the LCM of 508, 286, 608, 711, 680?
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, 286, 608, 711, 680.
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}.