LCM of 874, 923, 663, 949, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 923, 663, 949, 434 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, 923, 663, 949, 434. So, keep reading to learn more.
Given numbers are 874,923,663,949,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,923,663,949,434 is 651727285482.
Find LCM of 874,923,663,949,434 with Prime Factorization
| 2 | 874, 923, 663, 949, 434 |
| 13 | 437, 923, 663, 949, 217 |
| 437, 71, 51, 73, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 437 x 71 x 51 x 73 x 217 = 651727285482
Therefore, the lowest common multiple of 874,923,663,949,434 is 651727285482.
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 923 x 663 x 949 x 434 = 220283822492916
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
923 : 1, 13, 71, 923
663 : 1, 3, 13, 17, 39, 51, 221, 663
949 : 1, 13, 73, 949
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,923,663,949,434, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
923:13x 71
663:3x 13x 17
949:13x 73
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 220283822492916/(1x338)
LCM = 220283822492916/338
LCM = 651727285482
Thus, we can understand that the LCM of 874,923,663,949,434 is 651727285482.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 923, 663, 949, 434
1. What is the LCM of 874, 923, 663, 949, 434?
Answer: LCM of 874, 923, 663, 949, 434 is 651727285482.
2. How to calculate the LCM of 874, 923, 663, 949, 434?
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, 923, 663, 949, 434.
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}.