LCM of 688, 344, 163, 638, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 344, 163, 638, 742 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 688, 344, 163, 638, 742. So, keep reading to learn more.
Given numbers are 688,344,163,638,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,344,163,638,742 is 13272130256.
Find LCM of 688,344,163,638,742 with Prime Factorization
| 2 | 688, 344, 163, 638, 742 |
| 2 | 344, 172, 163, 319, 371 |
| 2 | 86, 172, 163, 319, 371 |
| 43 | 43, 86, 163, 319, 371 |
| 1, 2, 163, 319, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 1 x 2 x 163 x 319 x 371 = 13272130256
Therefore, the lowest common multiple of 688,344,163,638,742 is 13272130256.
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.
688 x 344 x 163 x 638 x 742 = 18262451232256
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
344 : 1, 2, 4, 8, 43, 86, 172, 344
163 : 1, 163
638 : 1, 2, 11, 22, 29, 58, 319, 638
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,344,163,638,742, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
344:2x 2x 2x 43
163:163
638:2x 11x 29
742:2x 7x 53
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 43 = 1376
Therefore, the value for common factors is 1376.
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 = 18262451232256/(1x1376)
LCM = 18262451232256/1376
LCM = 13272130256
Thus, we can understand that the LCM of 688,344,163,638,742 is 13272130256.
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FAQs on LCM of 688, 344, 163, 638, 742
1. What is the LCM of 688, 344, 163, 638, 742?
Answer: LCM of 688, 344, 163, 638, 742 is 13272130256.
2. How to calculate the LCM of 688, 344, 163, 638, 742?
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 688, 344, 163, 638, 742.
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}.