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LCM of 616, 933, 200, 910

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


Find the LCM of 616, 933, 200, 910 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 616, 933, 200, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,933,200,910

Given numbers are 616,933,200,910

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

The LCM of 616,933,200,910 is 186786600.

Find LCM of 616,933,200,910 with Prime Factorization


2 616, 933, 200, 910
2 308, 933, 100, 455
2 154, 933, 50, 455
5 77, 933, 25, 455
7 77, 933, 5, 91
11, 933, 5, 13

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

2 x 2 x 2 x 5 x 7 x 11 x 933 x 5 x 13 = 186786600

Therefore, the lowest common multiple of 616,933,200,910 is 186786600.

LCM Formula to Find Lowest Common Multiple of 616,933,200,910

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.

616 x 933 x 200 x 910 = 104600496000

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

933 : 1, 3, 311, 933

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,933,200,910, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

933:3x 311

200:2x 2x 2x 5x 5

910:2x 5x 7x 13

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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 104600496000/(1x560)

LCM = 104600496000/560

LCM = 186786600

Thus, we can understand that the LCM of 616,933,200,910 is 186786600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 933, 200, 910

1. What is the LCM of 616, 933, 200, 910?

Answer: LCM of 616, 933, 200, 910 is 186786600.

2. How to calculate the LCM of 616, 933, 200, 910?

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 616, 933, 200, 910.

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}.