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LCM of 943, 706, 304, 660

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


Find the LCM of 943, 706, 304, 660 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 943, 706, 304, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,706,304,660

Given numbers are 943,706,304,660

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

The LCM of 943,706,304,660 is 16697210640.

Find LCM of 943,706,304,660 with Prime Factorization


2 943, 706, 304, 660
2 943, 353, 152, 330
943, 353, 76, 165

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

2 x 2 x 943 x 353 x 76 x 165 = 16697210640

Therefore, the lowest common multiple of 943,706,304,660 is 16697210640.

LCM Formula to Find Lowest Common Multiple of 943,706,304,660

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.

943 x 706 x 304 x 660 = 133577685120

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.

943 : 1, 23, 41, 943

706 : 1, 2, 353, 706

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,706,304,660, is 1.

Now, the common factors can be found like this.

943:23x 41

706:2x 353

304:2x 2x 2x 2x 19

660:2x 2x 3x 5x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 133577685120/(1x8)

LCM = 133577685120/8

LCM = 16697210640

Thus, we can understand that the LCM of 943,706,304,660 is 16697210640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 706, 304, 660

1. What is the LCM of 943, 706, 304, 660?

Answer: LCM of 943, 706, 304, 660 is 16697210640.

2. How to calculate the LCM of 943, 706, 304, 660?

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 943, 706, 304, 660.

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}.