LCM of 287, 988, 923, 943, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 988, 923, 943, 621 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 287, 988, 923, 943, 621. So, keep reading to learn more.
Given numbers are 287,988,923,943,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,988,923,943,621 is 12502267596.
Find LCM of 287,988,923,943,621 with Prime Factorization
| 13 | 287, 988, 923, 943, 621 |
| 23 | 287, 76, 71, 943, 621 |
| 41 | 287, 76, 71, 41, 27 |
| 7, 76, 71, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 41 x 7 x 76 x 71 x 1 x 27 = 12502267596
Therefore, the lowest common multiple of 287,988,923,943,621 is 12502267596.
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.
287 x 988 x 923 x 943 x 621 = 153265298459364
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.
287 : 1, 7, 41, 287
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
923 : 1, 13, 71, 923
943 : 1, 23, 41, 943
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,988,923,943,621, is 1.
Now, the common factors can be found like this.
287:7x 41
988:2x 2x 13x 19
923:13x 71
943:23x 41
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23x 41 = 12259
Therefore, the value for common factors is 12259.
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 = 153265298459364/(1x12259)
LCM = 153265298459364/12259
LCM = 12502267596
Thus, we can understand that the LCM of 287,988,923,943,621 is 12502267596.
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FAQs on LCM of 287, 988, 923, 943, 621
1. What is the LCM of 287, 988, 923, 943, 621?
Answer: LCM of 287, 988, 923, 943, 621 is 12502267596.
2. How to calculate the LCM of 287, 988, 923, 943, 621?
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 287, 988, 923, 943, 621.
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}.