LCM of 642, 642, 578, 524, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 642, 578, 524, 639 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 642, 642, 578, 524, 639. So, keep reading to learn more.
Given numbers are 642,642,578,524,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,642,578,524,639 is 10354133628.
Find LCM of 642,642,578,524,639 with Prime Factorization
| 2 | 642, 642, 578, 524, 639 |
| 3 | 321, 321, 289, 262, 639 |
| 107 | 107, 107, 289, 262, 213 |
| 1, 1, 289, 262, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 1 x 1 x 289 x 262 x 213 = 10354133628
Therefore, the lowest common multiple of 642,642,578,524,639 is 10354133628.
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.
642 x 642 x 578 x 524 x 639 = 79768245470112
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
642 : 1, 2, 3, 6, 107, 214, 321, 642
578 : 1, 2, 17, 34, 289, 578
524 : 1, 2, 4, 131, 262, 524
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,642,578,524,639, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
642:2x 3x 107
578:2x 17x 17
524:2x 2x 131
639:3x 3x 71
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 = 79768245470112/(1x7704)
LCM = 79768245470112/7704
LCM = 10354133628
Thus, we can understand that the LCM of 642,642,578,524,639 is 10354133628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 642, 578, 524, 639
1. What is the LCM of 642, 642, 578, 524, 639?
Answer: LCM of 642, 642, 578, 524, 639 is 10354133628.
2. How to calculate the LCM of 642, 642, 578, 524, 639?
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 642, 642, 578, 524, 639.
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}.