LCM of 258, 562, 642, 642, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 562, 642, 642, 746 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 258, 562, 642, 642, 746. So, keep reading to learn more.
Given numbers are 258,562,642,642,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,562,642,642,746 is 2893467678.
Find LCM of 258,562,642,642,746 with Prime Factorization
| 2 | 258, 562, 642, 642, 746 |
| 3 | 129, 281, 321, 321, 373 |
| 107 | 43, 281, 107, 107, 373 |
| 43, 281, 1, 1, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 43 x 281 x 1 x 1 x 373 = 2893467678
Therefore, the lowest common multiple of 258,562,642,642,746 is 2893467678.
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.
258 x 562 x 642 x 642 x 746 = 44582549982624
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
562 : 1, 2, 281, 562
642 : 1, 2, 3, 6, 107, 214, 321, 642
642 : 1, 2, 3, 6, 107, 214, 321, 642
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,562,642,642,746, is 2.
Now, the common factors can be found like this.
258:2x 3x 43
562:2x 281
642:2x 3x 107
642:2x 3x 107
746:2x 373
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 3x 3x 107 = 7704
Therefore, the value for common factors is 7704.
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 = 44582549982624/(2x7704)
LCM = 44582549982624/15408
LCM = 2893467678
Thus, we can understand that the LCM of 258,562,642,642,746 is 2893467678.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 258, 562, 642, 642, 746
1. What is the LCM of 258, 562, 642, 642, 746?
Answer: LCM of 258, 562, 642, 642, 746 is 2893467678.
2. How to calculate the LCM of 258, 562, 642, 642, 746?
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 258, 562, 642, 642, 746.
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}.