LCM of 399, 431, 903, 769
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 431, 903, 769 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 399, 431, 903, 769. So, keep reading to learn more.
Given numbers are 399,431,903,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,431,903,769 is 5686498923.
Find LCM of 399,431,903,769 with Prime Factorization
| 3 | 399, 431, 903, 769 |
| 7 | 133, 431, 301, 769 |
| 19, 431, 43, 769 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 431 x 43 x 769 = 5686498923
Therefore, the lowest common multiple of 399,431,903,769 is 5686498923.
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.
399 x 431 x 903 x 769 = 119416477383
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
431 : 1, 431
903 : 1, 3, 7, 21, 43, 129, 301, 903
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,431,903,769, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
431:431
903:3x 7x 43
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 119416477383/(1x21)
LCM = 119416477383/21
LCM = 5686498923
Thus, we can understand that the LCM of 399,431,903,769 is 5686498923.
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FAQs on LCM of 399, 431, 903, 769
1. What is the LCM of 399, 431, 903, 769?
Answer: LCM of 399, 431, 903, 769 is 5686498923.
2. How to calculate the LCM of 399, 431, 903, 769?
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 399, 431, 903, 769.
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}.