LCM of 704, 556, 349, 748, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 556, 349, 748, 182 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, 556, 349, 748, 182. So, keep reading to learn more.
Given numbers are 704,556,349,748,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,556,349,748,182 is 52832747968.
Find LCM of 704,556,349,748,182 with Prime Factorization
| 2 | 704, 556, 349, 748, 182 |
| 2 | 352, 278, 349, 374, 91 |
| 11 | 176, 139, 349, 187, 91 |
| 16, 139, 349, 17, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 139 x 349 x 17 x 91 = 52832747968
Therefore, the lowest common multiple of 704,556,349,748,182 is 52832747968.
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 556 x 349 x 748 x 182 = 18597127284736
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
556 : 1, 2, 4, 139, 278, 556
349 : 1, 349
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,556,349,748,182, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
556:2x 2x 139
349:349
748:2x 2x 11x 17
182:2x 7x 13
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 11 = 352
Therefore, the value for common factors is 352.
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 = 18597127284736/(1x352)
LCM = 18597127284736/352
LCM = 52832747968
Thus, we can understand that the LCM of 704,556,349,748,182 is 52832747968.
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FAQs on LCM of 704, 556, 349, 748, 182
1. What is the LCM of 704, 556, 349, 748, 182?
Answer: LCM of 704, 556, 349, 748, 182 is 52832747968.
2. How to calculate the LCM of 704, 556, 349, 748, 182?
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, 556, 349, 748, 182.
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}.