LCM of 451, 874, 418, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 874, 418, 760 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 451, 874, 418, 760. So, keep reading to learn more.
Given numbers are 451,874,418,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,874,418,760 is 7883480.
Find LCM of 451,874,418,760 with Prime Factorization
| 2 | 451, 874, 418, 760 |
| 11 | 451, 437, 209, 380 |
| 19 | 41, 437, 19, 380 |
| 41, 23, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 41 x 23 x 1 x 20 = 7883480
Therefore, the lowest common multiple of 451,874,418,760 is 7883480.
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.
451 x 874 x 418 x 760 = 125221196320
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.
451 : 1, 11, 41, 451
874 : 1, 2, 19, 23, 38, 46, 437, 874
418 : 1, 2, 11, 19, 22, 38, 209, 418
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,874,418,760, is 1.
Now, the common factors can be found like this.
451:11x 41
874:2x 19x 23
418:2x 11x 19
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 19x 19 = 15884
Therefore, the value for common factors is 15884.
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 = 125221196320/(1x15884)
LCM = 125221196320/15884
LCM = 7883480
Thus, we can understand that the LCM of 451,874,418,760 is 7883480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 874, 418, 760
1. What is the LCM of 451, 874, 418, 760?
Answer: LCM of 451, 874, 418, 760 is 7883480.
2. How to calculate the LCM of 451, 874, 418, 760?
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 451, 874, 418, 760.
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}.