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LCM of 260, 121, 374, 400, 499

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


Find the LCM of 260, 121, 374, 400, 499 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 260, 121, 374, 400, 499. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,121,374,400,499

Given numbers are 260,121,374,400,499

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

The LCM of 260,121,374,400,499 is 5337503600.

Find LCM of 260,121,374,400,499 with Prime Factorization


2 260, 121, 374, 400, 499
2 130, 121, 187, 200, 499
5 65, 121, 187, 100, 499
11 13, 121, 187, 20, 499
13, 11, 17, 20, 499

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

2 x 2 x 5 x 11 x 13 x 11 x 17 x 20 x 499 = 5337503600

Therefore, the lowest common multiple of 260,121,374,400,499 is 5337503600.

LCM Formula to Find Lowest Common Multiple of 260,121,374,400,499

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.

260 x 121 x 374 x 400 x 499 = 2348501584000

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

121 : 1, 11, 121

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

499 : 1, 499

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,121,374,400,499, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

121:11x 11

374:2x 11x 17

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

499:499

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 2348501584000/(1x440)

LCM = 2348501584000/440

LCM = 5337503600

Thus, we can understand that the LCM of 260,121,374,400,499 is 5337503600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 121, 374, 400, 499

1. What is the LCM of 260, 121, 374, 400, 499?

Answer: LCM of 260, 121, 374, 400, 499 is 5337503600.

2. How to calculate the LCM of 260, 121, 374, 400, 499?

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 260, 121, 374, 400, 499.

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}.