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LCM of 966, 399, 192, 175

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


Find the LCM of 966, 399, 192, 175 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 966, 399, 192, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,399,192,175

Given numbers are 966,399,192,175

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

The LCM of 966,399,192,175 is 14683200.

Find LCM of 966,399,192,175 with Prime Factorization


2 966, 399, 192, 175
3 483, 399, 96, 175
7 161, 133, 32, 175
23, 19, 32, 25

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

2 x 3 x 7 x 23 x 19 x 32 x 25 = 14683200

Therefore, the lowest common multiple of 966,399,192,175 is 14683200.

LCM Formula to Find Lowest Common Multiple of 966,399,192,175

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.

966 x 399 x 192 x 175 = 12950582400

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

399 : 1, 3, 7, 19, 21, 57, 133, 399

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,399,192,175, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

399:3x 7x 19

192:2x 2x 2x 2x 2x 2x 3

175:5x 5x 7

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

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 12950582400/(1x882)

LCM = 12950582400/882

LCM = 14683200

Thus, we can understand that the LCM of 966,399,192,175 is 14683200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 399, 192, 175

1. What is the LCM of 966, 399, 192, 175?

Answer: LCM of 966, 399, 192, 175 is 14683200.

2. How to calculate the LCM of 966, 399, 192, 175?

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 966, 399, 192, 175.

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}.