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LCM of 261, 406, 251, 203

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


Find the LCM of 261, 406, 251, 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 261, 406, 251, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,406,251,203

Given numbers are 261,406,251,203

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

The LCM of 261,406,251,203 is 917154.

Find LCM of 261,406,251,203 with Prime Factorization


7 261, 406, 251, 203
29 261, 58, 251, 29
9, 2, 251, 1

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

7 x 29 x 9 x 2 x 251 x 1 = 917154

Therefore, the lowest common multiple of 261,406,251,203 is 917154.

LCM Formula to Find Lowest Common Multiple of 261,406,251,203

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.

261 x 406 x 251 x 203 = 5399285598

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.

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

251 : 1, 251

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,406,251,203, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

406:2x 7x 29

251:251

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.

7x 29x 29 = 5887

Therefore, the value for common factors is 5887.

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 = 5399285598/(1x5887)

LCM = 5399285598/5887

LCM = 917154

Thus, we can understand that the LCM of 261,406,251,203 is 917154.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 406, 251, 203

1. What is the LCM of 261, 406, 251, 203?

Answer: LCM of 261, 406, 251, 203 is 917154.

2. How to calculate the LCM of 261, 406, 251, 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 261, 406, 251, 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}.