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LCM of 986, 493, 959, 261

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 986, 493, 959, 261 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, 493, 959, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,493,959,261

Given numbers are 986,493,959,261

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 986,493,959,261 is 8510166.

Find LCM of 986,493,959,261 with Prime Factorization


17 986, 493, 959, 261
29 58, 29, 959, 261
2, 1, 959, 9

Multiply the prime numbers at the bottom and the left side.

17 x 29 x 2 x 1 x 959 x 9 = 8510166

Therefore, the lowest common multiple of 986,493,959,261 is 8510166.

LCM Formula to Find Lowest Common Multiple of 986,493,959,261

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 493 x 959 x 261 = 121669843302

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

493 : 1, 17, 29, 493

959 : 1, 7, 137, 959

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,493,959,261, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

493:17x 29

959:7x 137

261:3x 3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 29x 29 = 14297

Therefore, the value for common factors is 14297.

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 = 121669843302/(1x14297)

LCM = 121669843302/14297

LCM = 8510166

Thus, we can understand that the LCM of 986,493,959,261 is 8510166.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 493, 959, 261

1. What is the LCM of 986, 493, 959, 261?

Answer: LCM of 986, 493, 959, 261 is 8510166.

2. How to calculate the LCM of 986, 493, 959, 261?

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, 493, 959, 261.

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}.