LCM of 158, 688, 741, 556, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 688, 741, 556, 598 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 158, 688, 741, 556, 598. So, keep reading to learn more.
Given numbers are 158,688,741,556,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,688,741,556,598 is 128758637904.
Find LCM of 158,688,741,556,598 with Prime Factorization
| 2 | 158, 688, 741, 556, 598 |
| 2 | 79, 344, 741, 278, 299 |
| 13 | 79, 172, 741, 139, 299 |
| 79, 172, 57, 139, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 79 x 172 x 57 x 139 x 23 = 128758637904
Therefore, the lowest common multiple of 158,688,741,556,598 is 128758637904.
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.
158 x 688 x 741 x 556 x 598 = 26781796684032
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.
158 : 1, 2, 79, 158
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
741 : 1, 3, 13, 19, 39, 57, 247, 741
556 : 1, 2, 4, 139, 278, 556
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,688,741,556,598, is 1.
Now, the common factors can be found like this.
158:2x 79
688:2x 2x 2x 2x 43
741:3x 13x 19
556:2x 2x 139
598:2x 13x 23
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 13 = 208
Therefore, the value for common factors is 208.
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 = 26781796684032/(1x208)
LCM = 26781796684032/208
LCM = 128758637904
Thus, we can understand that the LCM of 158,688,741,556,598 is 128758637904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 158, 688, 741, 556, 598
1. What is the LCM of 158, 688, 741, 556, 598?
Answer: LCM of 158, 688, 741, 556, 598 is 128758637904.
2. How to calculate the LCM of 158, 688, 741, 556, 598?
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 158, 688, 741, 556, 598.
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}.