LCM of 667, 552, 428, 442, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 552, 428, 442, 196 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 667, 552, 428, 442, 196. So, keep reading to learn more.
Given numbers are 667,552,428,442,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,552,428,442,196 is 18548517624.
Find LCM of 667,552,428,442,196 with Prime Factorization
| 2 | 667, 552, 428, 442, 196 |
| 2 | 667, 276, 214, 221, 98 |
| 23 | 667, 138, 107, 221, 49 |
| 29, 6, 107, 221, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 29 x 6 x 107 x 221 x 49 = 18548517624
Therefore, the lowest common multiple of 667,552,428,442,196 is 18548517624.
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.
667 x 552 x 428 x 442 x 196 = 13651708971264
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.
667 : 1, 23, 29, 667
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
428 : 1, 2, 4, 107, 214, 428
442 : 1, 2, 13, 17, 26, 34, 221, 442
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,552,428,442,196, is 1.
Now, the common factors can be found like this.
667:23x 29
552:2x 2x 2x 3x 23
428:2x 2x 107
442:2x 13x 17
196:2x 2x 7x 7
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 23 = 736
Therefore, the value for common factors is 736.
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 = 13651708971264/(1x736)
LCM = 13651708971264/736
LCM = 18548517624
Thus, we can understand that the LCM of 667,552,428,442,196 is 18548517624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 552, 428, 442, 196
1. What is the LCM of 667, 552, 428, 442, 196?
Answer: LCM of 667, 552, 428, 442, 196 is 18548517624.
2. How to calculate the LCM of 667, 552, 428, 442, 196?
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 667, 552, 428, 442, 196.
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}.