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LCM of 261, 808, 506, 925

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


Find the LCM of 261, 808, 506, 925 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, 808, 506, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,808,506,925

Given numbers are 261,808,506,925

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

The LCM of 261,808,506,925 is 49353064200.

Find LCM of 261,808,506,925 with Prime Factorization


2 261, 808, 506, 925
261, 404, 253, 925

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

2 x 261 x 404 x 253 x 925 = 49353064200

Therefore, the lowest common multiple of 261,808,506,925 is 49353064200.

LCM Formula to Find Lowest Common Multiple of 261,808,506,925

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 808 x 506 x 925 = 98706128400

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

506 : 1, 2, 11, 22, 23, 46, 253, 506

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,808,506,925, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

808:2x 2x 2x 101

506:2x 11x 23

925:5x 5x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98706128400/(1x2)

LCM = 98706128400/2

LCM = 49353064200

Thus, we can understand that the LCM of 261,808,506,925 is 49353064200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 808, 506, 925

1. What is the LCM of 261, 808, 506, 925?

Answer: LCM of 261, 808, 506, 925 is 49353064200.

2. How to calculate the LCM of 261, 808, 506, 925?

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, 808, 506, 925.

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}.