LCM of 986, 156, 772, 492, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 156, 772, 492, 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 986, 156, 772, 492, 842. So, keep reading to learn more.
Given numbers are 986,156,772,492,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,156,772,492,842 is 256209234684.
Find LCM of 986,156,772,492,842 with Prime Factorization
| 2 | 986, 156, 772, 492, 842 |
| 2 | 493, 78, 386, 246, 421 |
| 3 | 493, 39, 193, 123, 421 |
| 493, 13, 193, 41, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 493 x 13 x 193 x 41 x 421 = 256209234684
Therefore, the lowest common multiple of 986,156,772,492,842 is 256209234684.
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.
986 x 156 x 772 x 492 x 842 = 49192173059328
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
772 : 1, 2, 4, 193, 386, 772
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
842 : 1, 2, 421, 842
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,156,772,492,842, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
156:2x 2x 3x 13
772:2x 2x 193
492:2x 2x 3x 41
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 49192173059328/(2x96)
LCM = 49192173059328/192
LCM = 256209234684
Thus, we can understand that the LCM of 986,156,772,492,842 is 256209234684.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 986, 156, 772, 492, 842
1. What is the LCM of 986, 156, 772, 492, 842?
Answer: LCM of 986, 156, 772, 492, 842 is 256209234684.
2. How to calculate the LCM of 986, 156, 772, 492, 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 986, 156, 772, 492, 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}.