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LCM of 391, 779, 778, 986, 200

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


Find the LCM of 391, 779, 778, 986, 200 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 391, 779, 778, 986, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,779,778,986,200

Given numbers are 391,779,778,986,200

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

The LCM of 391,779,778,986,200 is 687213701800.

Find LCM of 391,779,778,986,200 with Prime Factorization


2 391, 779, 778, 986, 200
17 391, 779, 389, 493, 100
23, 779, 389, 29, 100

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

2 x 17 x 23 x 779 x 389 x 29 x 100 = 687213701800

Therefore, the lowest common multiple of 391,779,778,986,200 is 687213701800.

LCM Formula to Find Lowest Common Multiple of 391,779,778,986,200

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.

391 x 779 x 778 x 986 x 200 = 46730531722400

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.

391 : 1, 17, 23, 391

779 : 1, 19, 41, 779

778 : 1, 2, 389, 778

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

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,779,778,986,200, is 1.

Now, the common factors can be found like this.

391:17x 23

779:19x 41

778:2x 389

986:2x 17x 29

200:2x 2x 2x 5x 5

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 17 = 68

Therefore, the value for common factors is 68.

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 = 46730531722400/(1x68)

LCM = 46730531722400/68

LCM = 687213701800

Thus, we can understand that the LCM of 391,779,778,986,200 is 687213701800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 779, 778, 986, 200

1. What is the LCM of 391, 779, 778, 986, 200?

Answer: LCM of 391, 779, 778, 986, 200 is 687213701800.

2. How to calculate the LCM of 391, 779, 778, 986, 200?

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 391, 779, 778, 986, 200.

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}.