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 513, 361, 230, 141, 322

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


Find the LCM of 513, 361, 230, 141, 322 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 513, 361, 230, 141, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,361,230,141,322

Given numbers are 513,361,230,141,322

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

The LCM of 513,361,230,141,322 is 737555490.

Find LCM of 513,361,230,141,322 with Prime Factorization


2 513, 361, 230, 141, 322
3 513, 361, 115, 141, 161
19 171, 361, 115, 47, 161
23 9, 19, 115, 47, 161
9, 19, 5, 47, 7

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

2 x 3 x 19 x 23 x 9 x 19 x 5 x 47 x 7 = 737555490

Therefore, the lowest common multiple of 513,361,230,141,322 is 737555490.

LCM Formula to Find Lowest Common Multiple of 513,361,230,141,322

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.

513 x 361 x 230 x 141 x 322 = 1933870494780

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

361 : 1, 19, 361

230 : 1, 2, 5, 10, 23, 46, 115, 230

141 : 1, 3, 47, 141

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,361,230,141,322, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

361:19x 19

230:2x 5x 23

141:3x 47

322:2x 7x 23

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

2x 3x 19x 23 = 2622

Therefore, the value for common factors is 2622.

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 = 1933870494780/(1x2622)

LCM = 1933870494780/2622

LCM = 737555490

Thus, we can understand that the LCM of 513,361,230,141,322 is 737555490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 361, 230, 141, 322

1. What is the LCM of 513, 361, 230, 141, 322?

Answer: LCM of 513, 361, 230, 141, 322 is 737555490.

2. How to calculate the LCM of 513, 361, 230, 141, 322?

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 513, 361, 230, 141, 322.

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}.