LCM of 842, 202, 905, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 202, 905, 505 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, 202, 905, 505. So, keep reading to learn more.
Given numbers are 842,202,905,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,202,905,505 is 76963010.
Find LCM of 842,202,905,505 with Prime Factorization
| 2 | 842, 202, 905, 505 |
| 5 | 421, 101, 905, 505 |
| 101 | 421, 101, 181, 101 |
| 421, 1, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 421 x 1 x 181 x 1 = 76963010
Therefore, the lowest common multiple of 842,202,905,505 is 76963010.
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 202 x 905 x 505 = 77732640100
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
202 : 1, 2, 101, 202
905 : 1, 5, 181, 905
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,202,905,505, is 1.
Now, the common factors can be found like this.
842:2x 421
202:2x 101
905:5x 181
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 101 = 1010
Therefore, the value for common factors is 1010.
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 = 77732640100/(1x1010)
LCM = 77732640100/1010
LCM = 76963010
Thus, we can understand that the LCM of 842,202,905,505 is 76963010.
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FAQs on LCM of 842, 202, 905, 505
1. What is the LCM of 842, 202, 905, 505?
Answer: LCM of 842, 202, 905, 505 is 76963010.
2. How to calculate the LCM of 842, 202, 905, 505?
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, 202, 905, 505.
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}.