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LCM of 389, 604, 966, 145

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


Find the LCM of 389, 604, 966, 145 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 389, 604, 966, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,604,966,145

Given numbers are 389,604,966,145

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

The LCM of 389,604,966,145 is 16455143460.

Find LCM of 389,604,966,145 with Prime Factorization


2 389, 604, 966, 145
389, 302, 483, 145

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

2 x 389 x 302 x 483 x 145 = 16455143460

Therefore, the lowest common multiple of 389,604,966,145 is 16455143460.

LCM Formula to Find Lowest Common Multiple of 389,604,966,145

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.

389 x 604 x 966 x 145 = 32910286920

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.

389 : 1, 389

604 : 1, 2, 4, 151, 302, 604

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

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,604,966,145, is 1.

Now, the common factors can be found like this.

389:389

604:2x 2x 151

966:2x 3x 7x 23

145:5x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 32910286920/(1x2)

LCM = 32910286920/2

LCM = 16455143460

Thus, we can understand that the LCM of 389,604,966,145 is 16455143460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 604, 966, 145

1. What is the LCM of 389, 604, 966, 145?

Answer: LCM of 389, 604, 966, 145 is 16455143460.

2. How to calculate the LCM of 389, 604, 966, 145?

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 389, 604, 966, 145.

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}.