LCM of 514, 533, 948, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 533, 948, 574 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 514, 533, 948, 574. So, keep reading to learn more.
Given numbers are 514,533,948,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,533,948,574 is 909005916.
Find LCM of 514,533,948,574 with Prime Factorization
| 2 | 514, 533, 948, 574 |
| 41 | 257, 533, 474, 287 |
| 257, 13, 474, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 257 x 13 x 474 x 7 = 909005916
Therefore, the lowest common multiple of 514,533,948,574 is 909005916.
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.
514 x 533 x 948 x 574 = 149076970224
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.
514 : 1, 2, 257, 514
533 : 1, 13, 41, 533
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,533,948,574, is 1.
Now, the common factors can be found like this.
514:2x 257
533:13x 41
948:2x 2x 3x 79
574:2x 7x 41
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 41 = 164
Therefore, the value for common factors is 164.
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 = 149076970224/(1x164)
LCM = 149076970224/164
LCM = 909005916
Thus, we can understand that the LCM of 514,533,948,574 is 909005916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 533, 948, 574
1. What is the LCM of 514, 533, 948, 574?
Answer: LCM of 514, 533, 948, 574 is 909005916.
2. How to calculate the LCM of 514, 533, 948, 574?
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 514, 533, 948, 574.
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}.