LCM of 604, 644, 319, 453
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 644, 319, 453 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 604, 644, 319, 453. So, keep reading to learn more.
Given numbers are 604,644,319,453
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,644,319,453 is 93062508.
Find LCM of 604,644,319,453 with Prime Factorization
| 2 | 604, 644, 319, 453 |
| 2 | 302, 322, 319, 453 |
| 151 | 151, 161, 319, 453 |
| 1, 161, 319, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 151 x 1 x 161 x 319 x 3 = 93062508
Therefore, the lowest common multiple of 604,644,319,453 is 93062508.
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.
604 x 644 x 319 x 453 = 56209754832
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.
604 : 1, 2, 4, 151, 302, 604
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
319 : 1, 11, 29, 319
453 : 1, 3, 151, 453
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,644,319,453, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
644:2x 2x 7x 23
319:11x 29
453:3x 151
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 151 = 604
Therefore, the value for common factors is 604.
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 = 56209754832/(1x604)
LCM = 56209754832/604
LCM = 93062508
Thus, we can understand that the LCM of 604,644,319,453 is 93062508.
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FAQs on LCM of 604, 644, 319, 453
1. What is the LCM of 604, 644, 319, 453?
Answer: LCM of 604, 644, 319, 453 is 93062508.
2. How to calculate the LCM of 604, 644, 319, 453?
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 604, 644, 319, 453.
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}.