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 462, 545, 103, 303, 327

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


Find the LCM of 462, 545, 103, 303, 327 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 462, 545, 103, 303, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,545,103,303,327

Given numbers are 462,545,103,303,327

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

The LCM of 462,545,103,303,327 is 2619371370.

Find LCM of 462,545,103,303,327 with Prime Factorization


3 462, 545, 103, 303, 327
109 154, 545, 103, 101, 109
154, 5, 103, 101, 1

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

3 x 109 x 154 x 5 x 103 x 101 x 1 = 2619371370

Therefore, the lowest common multiple of 462,545,103,303,327 is 2619371370.

LCM Formula to Find Lowest Common Multiple of 462,545,103,303,327

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.

462 x 545 x 103 x 303 x 327 = 2569603313970

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

545 : 1, 5, 109, 545

103 : 1, 103

303 : 1, 3, 101, 303

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,545,103,303,327, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

545:5x 109

103:103

303:3x 101

327:3x 109

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

3x 3x 109 = 981

Therefore, the value for common factors is 981.

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 = 2569603313970/(1x981)

LCM = 2569603313970/981

LCM = 2619371370

Thus, we can understand that the LCM of 462,545,103,303,327 is 2619371370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 545, 103, 303, 327

1. What is the LCM of 462, 545, 103, 303, 327?

Answer: LCM of 462, 545, 103, 303, 327 is 2619371370.

2. How to calculate the LCM of 462, 545, 103, 303, 327?

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 462, 545, 103, 303, 327.

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}.