LCM of 485, 437, 540, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 437, 540, 874 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 485, 437, 540, 874. So, keep reading to learn more.
Given numbers are 485,437,540,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,437,540,874 is 22890060.
Find LCM of 485,437,540,874 with Prime Factorization
| 2 | 485, 437, 540, 874 |
| 5 | 485, 437, 270, 437 |
| 19 | 97, 437, 54, 437 |
| 23 | 97, 23, 54, 23 |
| 97, 1, 54, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 23 x 97 x 1 x 54 x 1 = 22890060
Therefore, the lowest common multiple of 485,437,540,874 is 22890060.
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.
485 x 437 x 540 x 874 = 100029562200
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.
485 : 1, 5, 97, 485
437 : 1, 19, 23, 437
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,437,540,874, is 1.
Now, the common factors can be found like this.
485:5x 97
437:19x 23
540:2x 2x 3x 3x 3x 5
874:2x 19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 23 = 4370
Therefore, the value for common factors is 4370.
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 = 100029562200/(1x4370)
LCM = 100029562200/4370
LCM = 22890060
Thus, we can understand that the LCM of 485,437,540,874 is 22890060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 485, 437, 540, 874
1. What is the LCM of 485, 437, 540, 874?
Answer: LCM of 485, 437, 540, 874 is 22890060.
2. How to calculate the LCM of 485, 437, 540, 874?
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 485, 437, 540, 874.
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}.