LCM of 699, 754, 441, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 754, 441, 503 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 699, 754, 441, 503. So, keep reading to learn more.
Given numbers are 699,754,441,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,754,441,503 is 38970308286.
Find LCM of 699,754,441,503 with Prime Factorization
| 3 | 699, 754, 441, 503 |
| 233, 754, 147, 503 |
Multiply the prime numbers at the bottom and the left side.
3 x 233 x 754 x 147 x 503 = 38970308286
Therefore, the lowest common multiple of 699,754,441,503 is 38970308286.
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.
699 x 754 x 441 x 503 = 116910924858
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.
699 : 1, 3, 233, 699
754 : 1, 2, 13, 26, 29, 58, 377, 754
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,754,441,503, is 1.
Now, the common factors can be found like this.
699:3x 233
754:2x 13x 29
441:3x 3x 7x 7
503:503
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 116910924858/(1x3)
LCM = 116910924858/3
LCM = 38970308286
Thus, we can understand that the LCM of 699,754,441,503 is 38970308286.
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FAQs on LCM of 699, 754, 441, 503
1. What is the LCM of 699, 754, 441, 503?
Answer: LCM of 699, 754, 441, 503 is 38970308286.
2. How to calculate the LCM of 699, 754, 441, 503?
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 699, 754, 441, 503.
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}.