LCM of 589, 402, 403, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 402, 403, 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 589, 402, 403, 644. So, keep reading to learn more.
Given numbers are 589,402,403,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,402,403,644 is 991152708.
Find LCM of 589,402,403,644 with Prime Factorization
| 2 | 589, 402, 403, 644 |
| 31 | 589, 201, 403, 322 |
| 19, 201, 13, 322 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 19 x 201 x 13 x 322 = 991152708
Therefore, the lowest common multiple of 589,402,403,644 is 991152708.
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.
589 x 402 x 403 x 644 = 61451467896
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.
589 : 1, 19, 31, 589
402 : 1, 2, 3, 6, 67, 134, 201, 402
403 : 1, 13, 31, 403
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 589,402,403,644, is 1.
Now, the common factors can be found like this.
589:19x 31
402:2x 3x 67
403:13x 31
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.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 61451467896/(1x62)
LCM = 61451467896/62
LCM = 991152708
Thus, we can understand that the LCM of 589,402,403,644 is 991152708.
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FAQs on LCM of 589, 402, 403, 644
1. What is the LCM of 589, 402, 403, 644?
Answer: LCM of 589, 402, 403, 644 is 991152708.
2. How to calculate the LCM of 589, 402, 403, 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 589, 402, 403, 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}.