LCM of 842, 909, 219, 508, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 909, 219, 508, 842 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, 909, 219, 508, 842. So, keep reading to learn more.
Given numbers are 842,909,219,508,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,909,219,508,842 is 14191638876.
Find LCM of 842,909,219,508,842 with Prime Factorization
| 2 | 842, 909, 219, 508, 842 |
| 3 | 421, 909, 219, 254, 421 |
| 421 | 421, 303, 73, 254, 421 |
| 1, 303, 73, 254, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 421 x 1 x 303 x 73 x 254 x 1 = 14191638876
Therefore, the lowest common multiple of 842,909,219,508,842 is 14191638876.
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 909 x 219 x 508 x 842 = 71696159601552
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
909 : 1, 3, 9, 101, 303, 909
219 : 1, 3, 73, 219
508 : 1, 2, 4, 127, 254, 508
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,909,219,508,842, is 1.
Now, the common factors can be found like this.
842:2x 421
909:3x 3x 101
219:3x 73
508:2x 2x 127
842:2x 421
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 3x 421 = 5052
Therefore, the value for common factors is 5052.
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 = 71696159601552/(1x5052)
LCM = 71696159601552/5052
LCM = 14191638876
Thus, we can understand that the LCM of 842,909,219,508,842 is 14191638876.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 909, 219, 508, 842
1. What is the LCM of 842, 909, 219, 508, 842?
Answer: LCM of 842, 909, 219, 508, 842 is 14191638876.
2. How to calculate the LCM of 842, 909, 219, 508, 842?
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, 909, 219, 508, 842.
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}.