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 196, 771, 205, 915

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


Find the LCM of 196, 771, 205, 915 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 196, 771, 205, 915. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 196,771,205,915

Given numbers are 196,771,205,915

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

The LCM of 196,771,205,915 is 1889705580.

Find LCM of 196,771,205,915 with Prime Factorization


3 196, 771, 205, 915
5 196, 257, 205, 305
196, 257, 41, 61

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

3 x 5 x 196 x 257 x 41 x 61 = 1889705580

Therefore, the lowest common multiple of 196,771,205,915 is 1889705580.

LCM Formula to Find Lowest Common Multiple of 196,771,205,915

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.

196 x 771 x 205 x 915 = 28345583700

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.

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

771 : 1, 3, 257, 771

205 : 1, 5, 41, 205

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,771,205,915, is 1.

Now, the common factors can be found like this.

196:2x 2x 7x 7

771:3x 257

205:5x 41

915:3x 5x 61

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 28345583700/(1x15)

LCM = 28345583700/15

LCM = 1889705580

Thus, we can understand that the LCM of 196,771,205,915 is 1889705580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 196, 771, 205, 915

1. What is the LCM of 196, 771, 205, 915?

Answer: LCM of 196, 771, 205, 915 is 1889705580.

2. How to calculate the LCM of 196, 771, 205, 915?

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 196, 771, 205, 915.

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}.