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 403, 298, 596, 676

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


Find the LCM of 403, 298, 596, 676 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 403, 298, 596, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,298,596,676

Given numbers are 403,298,596,676

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

The LCM of 403,298,596,676 is 3122444.

Find LCM of 403,298,596,676 with Prime Factorization


2 403, 298, 596, 676
2 403, 149, 298, 338
13 403, 149, 149, 169
149 31, 149, 149, 13
31, 1, 1, 13

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

2 x 2 x 13 x 149 x 31 x 1 x 1 x 13 = 3122444

Therefore, the lowest common multiple of 403,298,596,676 is 3122444.

LCM Formula to Find Lowest Common Multiple of 403,298,596,676

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.

403 x 298 x 596 x 676 = 48385392224

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.

403 : 1, 13, 31, 403

298 : 1, 2, 149, 298

596 : 1, 2, 4, 149, 298, 596

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,298,596,676, is 1.

Now, the common factors can be found like this.

403:13x 31

298:2x 149

596:2x 2x 149

676:2x 2x 13x 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 2x 2x 13x 149 = 15496

Therefore, the value for common factors is 15496.

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 = 48385392224/(1x15496)

LCM = 48385392224/15496

LCM = 3122444

Thus, we can understand that the LCM of 403,298,596,676 is 3122444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 298, 596, 676

1. What is the LCM of 403, 298, 596, 676?

Answer: LCM of 403, 298, 596, 676 is 3122444.

2. How to calculate the LCM of 403, 298, 596, 676?

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 403, 298, 596, 676.

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}.