LCM of 773, 882, 882, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 882, 882, 426 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, 882, 882, 426. So, keep reading to learn more.
Given numbers are 773,882,882,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,882,882,426 is 48406806.
Find LCM of 773,882,882,426 with Prime Factorization
| 2 | 773, 882, 882, 426 |
| 3 | 773, 441, 441, 213 |
| 3 | 773, 147, 147, 71 |
| 7 | 773, 49, 49, 71 |
| 7 | 773, 7, 7, 71 |
| 773, 1, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 773 x 1 x 1 x 71 = 48406806
Therefore, the lowest common multiple of 773,882,882,426 is 48406806.
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 882 x 882 x 426 = 256168817352
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
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,882,882,426, is 1.
Now, the common factors can be found like this.
773:773
882:2x 3x 3x 7x 7
882:2x 3x 3x 7x 7
426:2x 3x 71
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 256168817352/(1x5292)
LCM = 256168817352/5292
LCM = 48406806
Thus, we can understand that the LCM of 773,882,882,426 is 48406806.
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FAQs on LCM of 773, 882, 882, 426
1. What is the LCM of 773, 882, 882, 426?
Answer: LCM of 773, 882, 882, 426 is 48406806.
2. How to calculate the LCM of 773, 882, 882, 426?
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, 882, 882, 426.
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}.