LCM of 903, 623, 753, 473, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 623, 753, 473, 644 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 903, 623, 753, 473, 644. So, keep reading to learn more.
Given numbers are 903,623,753,473,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,623,753,473,644 is 20414182404.
Find LCM of 903,623,753,473,644 with Prime Factorization
| 3 | 903, 623, 753, 473, 644 |
| 7 | 301, 623, 251, 473, 644 |
| 43 | 43, 89, 251, 473, 92 |
| 1, 89, 251, 11, 92 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 1 x 89 x 251 x 11 x 92 = 20414182404
Therefore, the lowest common multiple of 903,623,753,473,644 is 20414182404.
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.
903 x 623 x 753 x 473 x 644 = 129038046975684
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
623 : 1, 7, 89, 623
753 : 1, 3, 251, 753
473 : 1, 11, 43, 473
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,623,753,473,644, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
623:7x 89
753:3x 251
473:11x 43
644:2x 2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 43 = 6321
Therefore, the value for common factors is 6321.
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 = 129038046975684/(1x6321)
LCM = 129038046975684/6321
LCM = 20414182404
Thus, we can understand that the LCM of 903,623,753,473,644 is 20414182404.
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FAQs on LCM of 903, 623, 753, 473, 644
1. What is the LCM of 903, 623, 753, 473, 644?
Answer: LCM of 903, 623, 753, 473, 644 is 20414182404.
2. How to calculate the LCM of 903, 623, 753, 473, 644?
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 903, 623, 753, 473, 644.
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}.