LCM of 705, 704, 695, 979, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 704, 695, 979, 638 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 705, 704, 695, 979, 638. So, keep reading to learn more.
Given numbers are 705,704,695,979,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,704,695,979,638 is 178059266880.
Find LCM of 705,704,695,979,638 with Prime Factorization
| 2 | 705, 704, 695, 979, 638 |
| 5 | 705, 352, 695, 979, 319 |
| 11 | 141, 352, 139, 979, 319 |
| 141, 32, 139, 89, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 141 x 32 x 139 x 89 x 29 = 178059266880
Therefore, the lowest common multiple of 705,704,695,979,638 is 178059266880.
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.
705 x 704 x 695 x 979 x 638 = 215451712924800
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
695 : 1, 5, 139, 695
979 : 1, 11, 89, 979
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,704,695,979,638, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
704:2x 2x 2x 2x 2x 2x 11
695:5x 139
979:11x 89
638:2x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 215451712924800/(1x1210)
LCM = 215451712924800/1210
LCM = 178059266880
Thus, we can understand that the LCM of 705,704,695,979,638 is 178059266880.
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FAQs on LCM of 705, 704, 695, 979, 638
1. What is the LCM of 705, 704, 695, 979, 638?
Answer: LCM of 705, 704, 695, 979, 638 is 178059266880.
2. How to calculate the LCM of 705, 704, 695, 979, 638?
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 705, 704, 695, 979, 638.
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}.