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LCM of 936, 985, 884, 662

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


Find the LCM of 936, 985, 884, 662 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 936, 985, 884, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,985,884,662

Given numbers are 936,985,884,662

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

The LCM of 936,985,884,662 is 5187868920.

Find LCM of 936,985,884,662 with Prime Factorization


2 936, 985, 884, 662
2 468, 985, 442, 331
13 234, 985, 221, 331
18, 985, 17, 331

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

2 x 2 x 13 x 18 x 985 x 17 x 331 = 5187868920

Therefore, the lowest common multiple of 936,985,884,662 is 5187868920.

LCM Formula to Find Lowest Common Multiple of 936,985,884,662

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.

936 x 985 x 884 x 662 = 539538367680

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

985 : 1, 5, 197, 985

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,985,884,662, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

985:5x 197

884:2x 2x 13x 17

662:2x 331

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 13 = 104

Therefore, the value for common factors is 104.

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 = 539538367680/(1x104)

LCM = 539538367680/104

LCM = 5187868920

Thus, we can understand that the LCM of 936,985,884,662 is 5187868920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 985, 884, 662

1. What is the LCM of 936, 985, 884, 662?

Answer: LCM of 936, 985, 884, 662 is 5187868920.

2. How to calculate the LCM of 936, 985, 884, 662?

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 936, 985, 884, 662.

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}.