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 909, 262, 862, 338, 191

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


Find the LCM of 909, 262, 862, 338, 191 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 909, 262, 862, 338, 191. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,262,862,338,191

Given numbers are 909,262,862,338,191

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

The LCM of 909,262,862,338,191 is 3313313397342.

Find LCM of 909,262,862,338,191 with Prime Factorization


2 909, 262, 862, 338, 191
909, 131, 431, 169, 191

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

2 x 909 x 131 x 431 x 169 x 191 = 3313313397342

Therefore, the lowest common multiple of 909,262,862,338,191 is 3313313397342.

LCM Formula to Find Lowest Common Multiple of 909,262,862,338,191

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.

909 x 262 x 862 x 338 x 191 = 13253253589368

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.

909 : 1, 3, 9, 101, 303, 909

262 : 1, 2, 131, 262

862 : 1, 2, 431, 862

338 : 1, 2, 13, 26, 169, 338

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,262,862,338,191, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

262:2x 131

862:2x 431

338:2x 13x 13

191:191

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13253253589368/(1x4)

LCM = 13253253589368/4

LCM = 3313313397342

Thus, we can understand that the LCM of 909,262,862,338,191 is 3313313397342.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 262, 862, 338, 191

1. What is the LCM of 909, 262, 862, 338, 191?

Answer: LCM of 909, 262, 862, 338, 191 is 3313313397342.

2. How to calculate the LCM of 909, 262, 862, 338, 191?

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 909, 262, 862, 338, 191.

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}.