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LCM of 402, 261, 400, 203

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


Find the LCM of 402, 261, 400, 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 402, 261, 400, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,261,400,203

Given numbers are 402,261,400,203

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

The LCM of 402,261,400,203 is 48963600.

Find LCM of 402,261,400,203 with Prime Factorization


2 402, 261, 400, 203
3 201, 261, 200, 203
29 67, 87, 200, 203
67, 3, 200, 7

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

2 x 3 x 29 x 67 x 3 x 200 x 7 = 48963600

Therefore, the lowest common multiple of 402,261,400,203 is 48963600.

LCM Formula to Find Lowest Common Multiple of 402,261,400,203

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.

402 x 261 x 400 x 203 = 8519666400

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

261 : 1, 3, 9, 29, 87, 261

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,261,400,203, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

261:3x 3x 29

400:2x 2x 2x 2x 5x 5

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.

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 8519666400/(1x174)

LCM = 8519666400/174

LCM = 48963600

Thus, we can understand that the LCM of 402,261,400,203 is 48963600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 261, 400, 203

1. What is the LCM of 402, 261, 400, 203?

Answer: LCM of 402, 261, 400, 203 is 48963600.

2. How to calculate the LCM of 402, 261, 400, 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 402, 261, 400, 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}.