LCM of 636, 974, 469, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 974, 469, 224 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 636, 974, 469, 224. So, keep reading to learn more.
Given numbers are 636,974,469,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,974,469,224 is 1162114464.
Find LCM of 636,974,469,224 with Prime Factorization
| 2 | 636, 974, 469, 224 |
| 2 | 318, 487, 469, 112 |
| 7 | 159, 487, 469, 56 |
| 159, 487, 67, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 159 x 487 x 67 x 8 = 1162114464
Therefore, the lowest common multiple of 636,974,469,224 is 1162114464.
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.
636 x 974 x 469 x 224 = 65078409984
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
974 : 1, 2, 487, 974
469 : 1, 7, 67, 469
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,974,469,224, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
974:2x 487
469:7x 67
224:2x 2x 2x 2x 2x 7
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 7 = 56
Therefore, the value for common factors is 56.
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 = 65078409984/(1x56)
LCM = 65078409984/56
LCM = 1162114464
Thus, we can understand that the LCM of 636,974,469,224 is 1162114464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 636, 974, 469, 224
1. What is the LCM of 636, 974, 469, 224?
Answer: LCM of 636, 974, 469, 224 is 1162114464.
2. How to calculate the LCM of 636, 974, 469, 224?
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 636, 974, 469, 224.
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}.