LCM of 203, 644, 446, 499, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 644, 446, 499, 359 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 203, 644, 446, 499, 359. So, keep reading to learn more.
Given numbers are 203,644,446,499,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,644,446,499,359 is 746077121468.
Find LCM of 203,644,446,499,359 with Prime Factorization
| 2 | 203, 644, 446, 499, 359 |
| 7 | 203, 322, 223, 499, 359 |
| 29, 46, 223, 499, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 46 x 223 x 499 x 359 = 746077121468
Therefore, the lowest common multiple of 203,644,446,499,359 is 746077121468.
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.
203 x 644 x 446 x 499 x 359 = 10445079700552
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.
203 : 1, 7, 29, 203
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
446 : 1, 2, 223, 446
499 : 1, 499
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,644,446,499,359, is 1.
Now, the common factors can be found like this.
203:7x 29
644:2x 2x 7x 23
446:2x 223
499:499
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 10445079700552/(1x14)
LCM = 10445079700552/14
LCM = 746077121468
Thus, we can understand that the LCM of 203,644,446,499,359 is 746077121468.
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FAQs on LCM of 203, 644, 446, 499, 359
1. What is the LCM of 203, 644, 446, 499, 359?
Answer: LCM of 203, 644, 446, 499, 359 is 746077121468.
2. How to calculate the LCM of 203, 644, 446, 499, 359?
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 203, 644, 446, 499, 359.
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}.