LCM of 427, 600, 731, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 600, 731, 952 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 427, 600, 731, 952. So, keep reading to learn more.
Given numbers are 427,600,731,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,600,731,952 is 187282200.
Find LCM of 427,600,731,952 with Prime Factorization
| 2 | 427, 600, 731, 952 |
| 2 | 427, 300, 731, 476 |
| 2 | 427, 150, 731, 238 |
| 7 | 427, 75, 731, 119 |
| 17 | 61, 75, 731, 17 |
| 61, 75, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 61 x 75 x 43 x 1 = 187282200
Therefore, the lowest common multiple of 427,600,731,952 is 187282200.
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.
427 x 600 x 731 x 952 = 178292654400
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.
427 : 1, 7, 61, 427
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
731 : 1, 17, 43, 731
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,600,731,952, is 1.
Now, the common factors can be found like this.
427:7x 61
600:2x 2x 2x 3x 5x 5
731:17x 43
952:2x 2x 2x 7x 17
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 2x 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 178292654400/(1x952)
LCM = 178292654400/952
LCM = 187282200
Thus, we can understand that the LCM of 427,600,731,952 is 187282200.
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FAQs on LCM of 427, 600, 731, 952
1. What is the LCM of 427, 600, 731, 952?
Answer: LCM of 427, 600, 731, 952 is 187282200.
2. How to calculate the LCM of 427, 600, 731, 952?
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 427, 600, 731, 952.
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}.