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 460, 377, 339, 203

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


Find the LCM of 460, 377, 339, 203 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 460, 377, 339, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,377,339,203

Given numbers are 460,377,339,203

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

The LCM of 460,377,339,203 is 411525660.

Find LCM of 460,377,339,203 with Prime Factorization


29 460, 377, 339, 203
460, 13, 339, 7

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

29 x 460 x 13 x 339 x 7 = 411525660

Therefore, the lowest common multiple of 460,377,339,203 is 411525660.

LCM Formula to Find Lowest Common Multiple of 460,377,339,203

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.

460 x 377 x 339 x 203 = 11934244140

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

377 : 1, 13, 29, 377

339 : 1, 3, 113, 339

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,377,339,203, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

377:13x 29

339:3x 113

203:7x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 11934244140/(1x29)

LCM = 11934244140/29

LCM = 411525660

Thus, we can understand that the LCM of 460,377,339,203 is 411525660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 377, 339, 203

1. What is the LCM of 460, 377, 339, 203?

Answer: LCM of 460, 377, 339, 203 is 411525660.

2. How to calculate the LCM of 460, 377, 339, 203?

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 460, 377, 339, 203.

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}.