LCM of 469, 737, 539, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 737, 539, 893 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 469, 737, 539, 893. So, keep reading to learn more.
Given numbers are 469,737,539,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,737,539,893 is 32248909.
Find LCM of 469,737,539,893 with Prime Factorization
| 7 | 469, 737, 539, 893 |
| 11 | 67, 737, 77, 893 |
| 67 | 67, 67, 7, 893 |
| 1, 1, 7, 893 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 67 x 1 x 1 x 7 x 893 = 32248909
Therefore, the lowest common multiple of 469,737,539,893 is 32248909.
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.
469 x 737 x 539 x 893 = 166372121531
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.
469 : 1, 7, 67, 469
737 : 1, 11, 67, 737
539 : 1, 7, 11, 49, 77, 539
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,737,539,893, is 1.
Now, the common factors can be found like this.
469:7x 67
737:11x 67
539:7x 7x 11
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 67 = 5159
Therefore, the value for common factors is 5159.
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 = 166372121531/(1x5159)
LCM = 166372121531/5159
LCM = 32248909
Thus, we can understand that the LCM of 469,737,539,893 is 32248909.
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FAQs on LCM of 469, 737, 539, 893
1. What is the LCM of 469, 737, 539, 893?
Answer: LCM of 469, 737, 539, 893 is 32248909.
2. How to calculate the LCM of 469, 737, 539, 893?
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 469, 737, 539, 893.
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}.