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LCM of 403, 201, 676, 687

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


Find the LCM of 403, 201, 676, 687 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, 201, 676, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,201,676,687

Given numbers are 403,201,676,687

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

The LCM of 403,201,676,687 is 964583724.

Find LCM of 403,201,676,687 with Prime Factorization


3 403, 201, 676, 687
13 403, 67, 676, 229
31, 67, 52, 229

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

3 x 13 x 31 x 67 x 52 x 229 = 964583724

Therefore, the lowest common multiple of 403,201,676,687 is 964583724.

LCM Formula to Find Lowest Common Multiple of 403,201,676,687

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 201 x 676 x 687 = 37618765236

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

201 : 1, 3, 67, 201

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

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,201,676,687, is 1.

Now, the common factors can be found like this.

403:13x 31

201:3x 67

676:2x 2x 13x 13

687:3x 229

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 37618765236/(1x39)

LCM = 37618765236/39

LCM = 964583724

Thus, we can understand that the LCM of 403,201,676,687 is 964583724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 201, 676, 687

1. What is the LCM of 403, 201, 676, 687?

Answer: LCM of 403, 201, 676, 687 is 964583724.

2. How to calculate the LCM of 403, 201, 676, 687?

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, 201, 676, 687.

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}.