LCM of 362, 576, 584, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 576, 584, 642 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 362, 576, 584, 642. So, keep reading to learn more.
Given numbers are 362,576,584,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,576,584,642 is 814343616.
Find LCM of 362,576,584,642 with Prime Factorization
| 2 | 362, 576, 584, 642 |
| 2 | 181, 288, 292, 321 |
| 2 | 181, 144, 146, 321 |
| 3 | 181, 72, 73, 321 |
| 181, 24, 73, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 181 x 24 x 73 x 107 = 814343616
Therefore, the lowest common multiple of 362,576,584,642 is 814343616.
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.
362 x 576 x 584 x 642 = 78176987136
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.
362 : 1, 2, 181, 362
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
584 : 1, 2, 4, 8, 73, 146, 292, 584
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,576,584,642, is 2.
Now, the common factors can be found like this.
362:2x 181
576:2x 2x 2x 2x 2x 2x 3x 3
584:2x 2x 2x 73
642:2x 3x 107
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 78176987136/(2x48)
LCM = 78176987136/96
LCM = 814343616
Thus, we can understand that the LCM of 362,576,584,642 is 814343616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 576, 584, 642
1. What is the LCM of 362, 576, 584, 642?
Answer: LCM of 362, 576, 584, 642 is 814343616.
2. How to calculate the LCM of 362, 576, 584, 642?
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 362, 576, 584, 642.
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}.