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LCM of 966, 387, 353, 964, 894

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


Find the LCM of 966, 387, 353, 964, 894 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, 387, 353, 964, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,387,353,964,894

Given numbers are 966,387,353,964,894

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

The LCM of 966,387,353,964,894 is 3159183472956.

Find LCM of 966,387,353,964,894 with Prime Factorization


2 966, 387, 353, 964, 894
3 483, 387, 353, 482, 447
161, 129, 353, 482, 149

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

2 x 3 x 161 x 129 x 353 x 482 x 149 = 3159183472956

Therefore, the lowest common multiple of 966,387,353,964,894 is 3159183472956.

LCM Formula to Find Lowest Common Multiple of 966,387,353,964,894

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 387 x 353 x 964 x 894 = 113730605026416

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

387 : 1, 3, 9, 43, 129, 387

353 : 1, 353

964 : 1, 2, 4, 241, 482, 964

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,387,353,964,894, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

387:3x 3x 43

353:353

964:2x 2x 241

894:2x 3x 149

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 113730605026416/(1x36)

LCM = 113730605026416/36

LCM = 3159183472956

Thus, we can understand that the LCM of 966,387,353,964,894 is 3159183472956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 387, 353, 964, 894

1. What is the LCM of 966, 387, 353, 964, 894?

Answer: LCM of 966, 387, 353, 964, 894 is 3159183472956.

2. How to calculate the LCM of 966, 387, 353, 964, 894?

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, 387, 353, 964, 894.

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}.