LCM of 842, 842, 240, 649, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 842, 240, 649, 728 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 842, 842, 240, 649, 728. So, keep reading to learn more.
Given numbers are 842,842,240,649,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,842,240,649,728 is 5967321360.
Find LCM of 842,842,240,649,728 with Prime Factorization
| 2 | 842, 842, 240, 649, 728 |
| 2 | 421, 421, 120, 649, 364 |
| 2 | 421, 421, 60, 649, 182 |
| 421 | 421, 421, 30, 649, 91 |
| 1, 1, 30, 649, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 421 x 1 x 1 x 30 x 649 x 91 = 5967321360
Therefore, the lowest common multiple of 842,842,240,649,728 is 5967321360.
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.
842 x 842 x 240 x 649 x 728 = 80391753361920
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.
842 : 1, 2, 421, 842
842 : 1, 2, 421, 842
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
649 : 1, 11, 59, 649
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,842,240,649,728, is 1.
Now, the common factors can be found like this.
842:2x 421
842:2x 421
240:2x 2x 2x 2x 3x 5
649:11x 59
728:2x 2x 2x 7x 13
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 2x 421 = 13472
Therefore, the value for common factors is 13472.
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 = 80391753361920/(1x13472)
LCM = 80391753361920/13472
LCM = 5967321360
Thus, we can understand that the LCM of 842,842,240,649,728 is 5967321360.
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FAQs on LCM of 842, 842, 240, 649, 728
1. What is the LCM of 842, 842, 240, 649, 728?
Answer: LCM of 842, 842, 240, 649, 728 is 5967321360.
2. How to calculate the LCM of 842, 842, 240, 649, 728?
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 842, 842, 240, 649, 728.
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}.