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LCM of 386, 945, 986, 986

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


Find the LCM of 386, 945, 986, 986 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 386, 945, 986, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,945,986,986

Given numbers are 386,945,986,986

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

The LCM of 386,945,986,986 is 179831610.

Find LCM of 386,945,986,986 with Prime Factorization


2 386, 945, 986, 986
17 193, 945, 493, 493
29 193, 945, 29, 29
193, 945, 1, 1

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

2 x 17 x 29 x 193 x 945 x 1 x 1 = 179831610

Therefore, the lowest common multiple of 386,945,986,986 is 179831610.

LCM Formula to Find Lowest Common Multiple of 386,945,986,986

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.

386 x 945 x 986 x 986 = 354627934920

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.

386 : 1, 2, 193, 386

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

986 : 1, 2, 17, 29, 34, 58, 493, 986

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,945,986,986, is 1.

Now, the common factors can be found like this.

386:2x 193

945:3x 3x 3x 5x 7

986:2x 17x 29

986:2x 17x 29

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 17x 29 = 1972

Therefore, the value for common factors is 1972.

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 = 354627934920/(1x1972)

LCM = 354627934920/1972

LCM = 179831610

Thus, we can understand that the LCM of 386,945,986,986 is 179831610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 945, 986, 986

1. What is the LCM of 386, 945, 986, 986?

Answer: LCM of 386, 945, 986, 986 is 179831610.

2. How to calculate the LCM of 386, 945, 986, 986?

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 386, 945, 986, 986.

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}.