LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 960, 195, 884, 203

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


Find the LCM of 960, 195, 884, 203 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 960, 195, 884, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,195,884,203

Given numbers are 960,195,884,203

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

The LCM of 960,195,884,203 is 43068480.

Find LCM of 960,195,884,203 with Prime Factorization


2 960, 195, 884, 203
2 480, 195, 442, 203
3 240, 195, 221, 203
5 80, 65, 221, 203
13 16, 13, 221, 203
16, 1, 17, 203

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

2 x 2 x 3 x 5 x 13 x 16 x 1 x 17 x 203 = 43068480

Therefore, the lowest common multiple of 960,195,884,203 is 43068480.

LCM Formula to Find Lowest Common Multiple of 960,195,884,203

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.

960 x 195 x 884 x 203 = 33593414400

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,195,884,203, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

195:3x 5x 13

884:2x 2x 13x 17

203:7x 29

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 5x 13 = 780

Therefore, the value for common factors is 780.

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 = 33593414400/(1x780)

LCM = 33593414400/780

LCM = 43068480

Thus, we can understand that the LCM of 960,195,884,203 is 43068480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 195, 884, 203

1. What is the LCM of 960, 195, 884, 203?

Answer: LCM of 960, 195, 884, 203 is 43068480.

2. How to calculate the LCM of 960, 195, 884, 203?

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 960, 195, 884, 203.

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}.