LCM of 247, 703, 756, 768, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 703, 756, 768, 494 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 247, 703, 756, 768, 494. So, keep reading to learn more.
Given numbers are 247,703,756,768,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,703,756,768,494 is 442181376.
Find LCM of 247,703,756,768,494 with Prime Factorization
| 2 | 247, 703, 756, 768, 494 |
| 2 | 247, 703, 378, 384, 247 |
| 3 | 247, 703, 189, 192, 247 |
| 13 | 247, 703, 63, 64, 247 |
| 19 | 19, 703, 63, 64, 19 |
| 1, 37, 63, 64, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 1 x 37 x 63 x 64 x 1 = 442181376
Therefore, the lowest common multiple of 247,703,756,768,494 is 442181376.
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.
247 x 703 x 756 x 768 x 494 = 49803772741632
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.
247 : 1, 13, 19, 247
703 : 1, 19, 37, 703
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,703,756,768,494, is 1.
Now, the common factors can be found like this.
247:13x 19
703:19x 37
756:2x 2x 3x 3x 3x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
494:2x 13x 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 3x 13x 19x 19 = 112632
Therefore, the value for common factors is 112632.
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 = 49803772741632/(1x112632)
LCM = 49803772741632/112632
LCM = 442181376
Thus, we can understand that the LCM of 247,703,756,768,494 is 442181376.
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FAQs on LCM of 247, 703, 756, 768, 494
1. What is the LCM of 247, 703, 756, 768, 494?
Answer: LCM of 247, 703, 756, 768, 494 is 442181376.
2. How to calculate the LCM of 247, 703, 756, 768, 494?
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 247, 703, 756, 768, 494.
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}.