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 245, 460, 829

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


Find the LCM of 245, 460, 829 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 245, 460, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,460,829

Given numbers are 245,460,829

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

The LCM of 245,460,829 is 18685660.

Find LCM of 245,460,829 with Prime Factorization


5 245, 460, 829
49, 92, 829

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

5 x 49 x 92 x 829 = 18685660

Therefore, the lowest common multiple of 245,460,829 is 18685660.

LCM Formula to Find Lowest Common Multiple of 245,460,829

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.

245 x 460 x 829 = 93428300

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.

245 : 1, 5, 7, 35, 49, 245

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,460,829, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

460:2x 2x 5x 23

829:829

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

5 = 5

Therefore, the value for common factors is 5.

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 = 93428300/(1x5)

LCM = 93428300/5

LCM = 18685660

Thus, we can understand that the LCM of 245,460,829 is 18685660.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 245, 460, 829

1. What is the LCM of 245, 460, 829?

Answer: LCM of 245, 460, 829 is 18685660.

2. How to calculate the LCM of 245, 460, 829?

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 245, 460, 829.

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}.