LCM of 889, 637, 936, 450, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 637, 936, 450, 397 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 889, 637, 936, 450, 397. So, keep reading to learn more.
Given numbers are 889,637,936,450,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,637,936,450,397 is 57810425400.
Find LCM of 889,637,936,450,397 with Prime Factorization
| 2 | 889, 637, 936, 450, 397 |
| 3 | 889, 637, 468, 225, 397 |
| 3 | 889, 637, 156, 75, 397 |
| 7 | 889, 637, 52, 25, 397 |
| 13 | 127, 91, 52, 25, 397 |
| 127, 7, 4, 25, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 127 x 7 x 4 x 25 x 397 = 57810425400
Therefore, the lowest common multiple of 889,637,936,450,397 is 57810425400.
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.
889 x 637 x 936 x 450 x 397 = 94693476805200
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.
889 : 1, 7, 127, 889
637 : 1, 7, 13, 49, 91, 637
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,637,936,450,397, is 1.
Now, the common factors can be found like this.
889:7x 127
637:7x 7x 13
936:2x 2x 2x 3x 3x 13
450:2x 3x 3x 5x 5
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 13 = 1638
Therefore, the value for common factors is 1638.
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 = 94693476805200/(1x1638)
LCM = 94693476805200/1638
LCM = 57810425400
Thus, we can understand that the LCM of 889,637,936,450,397 is 57810425400.
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FAQs on LCM of 889, 637, 936, 450, 397
1. What is the LCM of 889, 637, 936, 450, 397?
Answer: LCM of 889, 637, 936, 450, 397 is 57810425400.
2. How to calculate the LCM of 889, 637, 936, 450, 397?
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 889, 637, 936, 450, 397.
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}.