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LCM of 184, 253, 759, 337

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


Find the LCM of 184, 253, 759, 337 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 184, 253, 759, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,253,759,337

Given numbers are 184,253,759,337

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

The LCM of 184,253,759,337 is 2046264.

Find LCM of 184,253,759,337 with Prime Factorization


11 184, 253, 759, 337
23 184, 23, 69, 337
8, 1, 3, 337

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

11 x 23 x 8 x 1 x 3 x 337 = 2046264

Therefore, the lowest common multiple of 184,253,759,337 is 2046264.

LCM Formula to Find Lowest Common Multiple of 184,253,759,337

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.

184 x 253 x 759 x 337 = 11907210216

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.

184 : 1, 2, 4, 8, 23, 46, 92, 184

253 : 1, 11, 23, 253

759 : 1, 3, 11, 23, 33, 69, 253, 759

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,253,759,337, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

253:11x 23

759:3x 11x 23

337:337

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

11x 23x 23 = 5819

Therefore, the value for common factors is 5819.

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 = 11907210216/(1x5819)

LCM = 11907210216/5819

LCM = 2046264

Thus, we can understand that the LCM of 184,253,759,337 is 2046264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 253, 759, 337

1. What is the LCM of 184, 253, 759, 337?

Answer: LCM of 184, 253, 759, 337 is 2046264.

2. How to calculate the LCM of 184, 253, 759, 337?

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 184, 253, 759, 337.

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}.