LCM of 704, 675, 726, 565, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 675, 726, 565, 657 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 704, 675, 726, 565, 657. So, keep reading to learn more.
Given numbers are 704,675,726,565,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,675,726,565,657 is 43119172800.
Find LCM of 704,675,726,565,657 with Prime Factorization
| 2 | 704, 675, 726, 565, 657 |
| 3 | 352, 675, 363, 565, 657 |
| 3 | 352, 225, 121, 565, 219 |
| 5 | 352, 75, 121, 565, 73 |
| 11 | 352, 15, 121, 113, 73 |
| 32, 15, 11, 113, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 32 x 15 x 11 x 113 x 73 = 43119172800
Therefore, the lowest common multiple of 704,675,726,565,657 is 43119172800.
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.
704 x 675 x 726 x 565 x 657 = 128063943216000
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
565 : 1, 5, 113, 565
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,675,726,565,657, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
675:3x 3x 3x 5x 5
726:2x 3x 11x 11
565:5x 113
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 128063943216000/(1x2970)
LCM = 128063943216000/2970
LCM = 43119172800
Thus, we can understand that the LCM of 704,675,726,565,657 is 43119172800.
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FAQs on LCM of 704, 675, 726, 565, 657
1. What is the LCM of 704, 675, 726, 565, 657?
Answer: LCM of 704, 675, 726, 565, 657 is 43119172800.
2. How to calculate the LCM of 704, 675, 726, 565, 657?
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 704, 675, 726, 565, 657.
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}.