LCM of 268, 676, 414, 716, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 676, 414, 716, 711 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 268, 676, 414, 716, 711. So, keep reading to learn more.
Given numbers are 268,676,414,716,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,676,414,716,711 is 132578153604.
Find LCM of 268,676,414,716,711 with Prime Factorization
| 2 | 268, 676, 414, 716, 711 |
| 2 | 134, 338, 207, 358, 711 |
| 3 | 67, 169, 207, 179, 711 |
| 3 | 67, 169, 69, 179, 237 |
| 67, 169, 23, 179, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 67 x 169 x 23 x 179 x 79 = 132578153604
Therefore, the lowest common multiple of 268,676,414,716,711 is 132578153604.
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.
268 x 676 x 414 x 716 x 711 = 38182508237952
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.
268 : 1, 2, 4, 67, 134, 268
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
716 : 1, 2, 4, 179, 358, 716
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,676,414,716,711, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
676:2x 2x 13x 13
414:2x 3x 3x 23
716:2x 2x 179
711:3x 3x 79
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 3 = 288
Therefore, the value for common factors is 288.
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 = 38182508237952/(1x288)
LCM = 38182508237952/288
LCM = 132578153604
Thus, we can understand that the LCM of 268,676,414,716,711 is 132578153604.
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FAQs on LCM of 268, 676, 414, 716, 711
1. What is the LCM of 268, 676, 414, 716, 711?
Answer: LCM of 268, 676, 414, 716, 711 is 132578153604.
2. How to calculate the LCM of 268, 676, 414, 716, 711?
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 268, 676, 414, 716, 711.
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}.