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LCM of 943, 598, 195, 689

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


Find the LCM of 943, 598, 195, 689 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, 598, 195, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,598,195,689

Given numbers are 943,598,195,689

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

The LCM of 943,598,195,689 is 19491810.

Find LCM of 943,598,195,689 with Prime Factorization


13 943, 598, 195, 689
23 943, 46, 15, 53
41, 2, 15, 53

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

13 x 23 x 41 x 2 x 15 x 53 = 19491810

Therefore, the lowest common multiple of 943,598,195,689 is 19491810.

LCM Formula to Find Lowest Common Multiple of 943,598,195,689

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 598 x 195 x 689 = 75764665470

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

195 : 1, 3, 5, 13, 15, 39, 65, 195

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,598,195,689, is 1.

Now, the common factors can be found like this.

943:23x 41

598:2x 13x 23

195:3x 5x 13

689:13x 53

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

13x 13x 23 = 3887

Therefore, the value for common factors is 3887.

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 = 75764665470/(1x3887)

LCM = 75764665470/3887

LCM = 19491810

Thus, we can understand that the LCM of 943,598,195,689 is 19491810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 598, 195, 689

1. What is the LCM of 943, 598, 195, 689?

Answer: LCM of 943, 598, 195, 689 is 19491810.

2. How to calculate the LCM of 943, 598, 195, 689?

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, 598, 195, 689.

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}.