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LCM of 966, 435, 756, 381

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


Find the LCM of 966, 435, 756, 381 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, 435, 756, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,435,756,381

Given numbers are 966,435,756,381

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

The LCM of 966,435,756,381 is 320200020.

Find LCM of 966,435,756,381 with Prime Factorization


2 966, 435, 756, 381
3 483, 435, 378, 381
7 161, 145, 126, 127
23, 145, 18, 127

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

2 x 3 x 7 x 23 x 145 x 18 x 127 = 320200020

Therefore, the lowest common multiple of 966,435,756,381 is 320200020.

LCM Formula to Find Lowest Common Multiple of 966,435,756,381

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 435 x 756 x 381 = 121035607560

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

381 : 1, 3, 127, 381

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,435,756,381, is 3.

Now, the common factors can be found like this.

966:2x 3x 7x 23

435:3x 5x 29

756:2x 2x 3x 3x 3x 7

381:3x 127

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 7 = 126

Therefore, the value for common factors is 126.

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 = 121035607560/(3x126)

LCM = 121035607560/378

LCM = 320200020

Thus, we can understand that the LCM of 966,435,756,381 is 320200020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 435, 756, 381

1. What is the LCM of 966, 435, 756, 381?

Answer: LCM of 966, 435, 756, 381 is 320200020.

2. How to calculate the LCM of 966, 435, 756, 381?

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, 435, 756, 381.

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}.