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 361, 551, 178, 182

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


Find the LCM of 361, 551, 178, 182 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 361, 551, 178, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,551,178,182

Given numbers are 361,551,178,182

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

The LCM of 361,551,178,182 is 169576862.

Find LCM of 361,551,178,182 with Prime Factorization


2 361, 551, 178, 182
19 361, 551, 89, 91
19, 29, 89, 91

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

2 x 19 x 19 x 29 x 89 x 91 = 169576862

Therefore, the lowest common multiple of 361,551,178,182 is 169576862.

LCM Formula to Find Lowest Common Multiple of 361,551,178,182

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.

361 x 551 x 178 x 182 = 6443920756

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.

361 : 1, 19, 361

551 : 1, 19, 29, 551

178 : 1, 2, 89, 178

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,551,178,182, is 1.

Now, the common factors can be found like this.

361:19x 19

551:19x 29

178:2x 89

182:2x 7x 13

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 6443920756/(1x38)

LCM = 6443920756/38

LCM = 169576862

Thus, we can understand that the LCM of 361,551,178,182 is 169576862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 551, 178, 182

1. What is the LCM of 361, 551, 178, 182?

Answer: LCM of 361, 551, 178, 182 is 169576862.

2. How to calculate the LCM of 361, 551, 178, 182?

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 361, 551, 178, 182.

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}.