LCM of 773, 442, 304, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 442, 304, 663 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, 442, 304, 663. So, keep reading to learn more.
Given numbers are 773,442,304,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,442,304,663 is 155799696.
Find LCM of 773,442,304,663 with Prime Factorization
| 2 | 773, 442, 304, 663 |
| 13 | 773, 221, 152, 663 |
| 17 | 773, 17, 152, 51 |
| 773, 1, 152, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 773 x 1 x 152 x 3 = 155799696
Therefore, the lowest common multiple of 773,442,304,663 is 155799696.
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 442 x 304 x 663 = 68863465632
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,442,304,663, is 1.
Now, the common factors can be found like this.
773:773
442:2x 13x 17
304:2x 2x 2x 2x 19
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 68863465632/(1x442)
LCM = 68863465632/442
LCM = 155799696
Thus, we can understand that the LCM of 773,442,304,663 is 155799696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 442, 304, 663
1. What is the LCM of 773, 442, 304, 663?
Answer: LCM of 773, 442, 304, 663 is 155799696.
2. How to calculate the LCM of 773, 442, 304, 663?
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, 442, 304, 663.
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}.