LCM of 874, 437, 123, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 437, 123, 521 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 874, 437, 123, 521. So, keep reading to learn more.
Given numbers are 874,437,123,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,437,123,521 is 56008542.
Find LCM of 874,437,123,521 with Prime Factorization
| 19 | 874, 437, 123, 521 |
| 23 | 46, 23, 123, 521 |
| 2, 1, 123, 521 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 2 x 1 x 123 x 521 = 56008542
Therefore, the lowest common multiple of 874,437,123,521 is 56008542.
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.
874 x 437 x 123 x 521 = 24475732854
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
437 : 1, 19, 23, 437
123 : 1, 3, 41, 123
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,437,123,521, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
437:19x 23
123:3x 41
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 23 = 437
Therefore, the value for common factors is 437.
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 = 24475732854/(1x437)
LCM = 24475732854/437
LCM = 56008542
Thus, we can understand that the LCM of 874,437,123,521 is 56008542.
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FAQs on LCM of 874, 437, 123, 521
1. What is the LCM of 874, 437, 123, 521?
Answer: LCM of 874, 437, 123, 521 is 56008542.
2. How to calculate the LCM of 874, 437, 123, 521?
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 874, 437, 123, 521.
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}.