LCM of 773, 396, 198, 828, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 396, 198, 828, 554 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 773, 396, 198, 828, 554. So, keep reading to learn more.
Given numbers are 773,396,198,828,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,396,198,828,554 is 1950214068.
Find LCM of 773,396,198,828,554 with Prime Factorization
| 2 | 773, 396, 198, 828, 554 |
| 2 | 773, 198, 99, 414, 277 |
| 3 | 773, 99, 99, 207, 277 |
| 3 | 773, 33, 33, 69, 277 |
| 11 | 773, 11, 11, 23, 277 |
| 773, 1, 1, 23, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 773 x 1 x 1 x 23 x 277 = 1950214068
Therefore, the lowest common multiple of 773,396,198,828,554 is 1950214068.
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.
773 x 396 x 198 x 828 x 554 = 27802251753408
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.
773 : 1, 773
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,396,198,828,554, is 1.
Now, the common factors can be found like this.
773:773
396:2x 2x 3x 3x 11
198:2x 3x 3x 11
828:2x 2x 3x 3x 23
554:2x 277
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 3x 3x 3x 3x 11 = 14256
Therefore, the value for common factors is 14256.
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 = 27802251753408/(1x14256)
LCM = 27802251753408/14256
LCM = 1950214068
Thus, we can understand that the LCM of 773,396,198,828,554 is 1950214068.
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FAQs on LCM of 773, 396, 198, 828, 554
1. What is the LCM of 773, 396, 198, 828, 554?
Answer: LCM of 773, 396, 198, 828, 554 is 1950214068.
2. How to calculate the LCM of 773, 396, 198, 828, 554?
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 773, 396, 198, 828, 554.
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}.