LCM of 874, 912, 923, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 912, 923, 355 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, 912, 923, 355. So, keep reading to learn more.
Given numbers are 874,912,923,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,912,923,355 is 96804240.
Find LCM of 874,912,923,355 with Prime Factorization
| 2 | 874, 912, 923, 355 |
| 19 | 437, 456, 923, 355 |
| 71 | 23, 24, 923, 355 |
| 23, 24, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 71 x 23 x 24 x 13 x 5 = 96804240
Therefore, the lowest common multiple of 874,912,923,355 is 96804240.
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 912 x 923 x 355 = 261177839520
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
923 : 1, 13, 71, 923
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,912,923,355, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
912:2x 2x 2x 2x 3x 19
923:13x 71
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 71 = 2698
Therefore, the value for common factors is 2698.
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 = 261177839520/(1x2698)
LCM = 261177839520/2698
LCM = 96804240
Thus, we can understand that the LCM of 874,912,923,355 is 96804240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 912, 923, 355
1. What is the LCM of 874, 912, 923, 355?
Answer: LCM of 874, 912, 923, 355 is 96804240.
2. How to calculate the LCM of 874, 912, 923, 355?
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, 912, 923, 355.
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}.