LCM of 103, 178, 356, 266, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 178, 356, 266, 979 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 103, 178, 356, 266, 979. So, keep reading to learn more.
Given numbers are 103,178,356,266,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,178,356,266,979 is 53645284.
Find LCM of 103,178,356,266,979 with Prime Factorization
| 2 | 103, 178, 356, 266, 979 |
| 89 | 103, 89, 178, 133, 979 |
| 103, 1, 2, 133, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 103 x 1 x 2 x 133 x 11 = 53645284
Therefore, the lowest common multiple of 103,178,356,266,979 is 53645284.
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.
103 x 178 x 356 x 266 x 979 = 1699697178256
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.
103 : 1, 103
178 : 1, 2, 89, 178
356 : 1, 2, 4, 89, 178, 356
266 : 1, 2, 7, 14, 19, 38, 133, 266
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,178,356,266,979, is 1.
Now, the common factors can be found like this.
103:103
178:2x 89
356:2x 2x 89
266:2x 7x 19
979:11x 89
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 89x 89 = 31684
Therefore, the value for common factors is 31684.
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 = 1699697178256/(1x31684)
LCM = 1699697178256/31684
LCM = 53645284
Thus, we can understand that the LCM of 103,178,356,266,979 is 53645284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 178, 356, 266, 979
1. What is the LCM of 103, 178, 356, 266, 979?
Answer: LCM of 103, 178, 356, 266, 979 is 53645284.
2. How to calculate the LCM of 103, 178, 356, 266, 979?
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 103, 178, 356, 266, 979.
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}.