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LCM of 263, 203, 244, 334, 612

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


Find the LCM of 263, 203, 244, 334, 612 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 263, 203, 244, 334, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,203,244,334,612

Given numbers are 263,203,244,334,612

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

The LCM of 263,203,244,334,612 is 332850730716.

Find LCM of 263,203,244,334,612 with Prime Factorization


2 263, 203, 244, 334, 612
2 263, 203, 122, 167, 306
263, 203, 61, 167, 153

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

2 x 2 x 263 x 203 x 61 x 167 x 153 = 332850730716

Therefore, the lowest common multiple of 263,203,244,334,612 is 332850730716.

LCM Formula to Find Lowest Common Multiple of 263,203,244,334,612

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.

263 x 203 x 244 x 334 x 612 = 2662805845728

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.

263 : 1, 263

203 : 1, 7, 29, 203

244 : 1, 2, 4, 61, 122, 244

334 : 1, 2, 167, 334

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,203,244,334,612, is 1.

Now, the common factors can be found like this.

263:263

203:7x 29

244:2x 2x 61

334:2x 167

612:2x 2x 3x 3x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2662805845728/(1x8)

LCM = 2662805845728/8

LCM = 332850730716

Thus, we can understand that the LCM of 263,203,244,334,612 is 332850730716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 203, 244, 334, 612

1. What is the LCM of 263, 203, 244, 334, 612?

Answer: LCM of 263, 203, 244, 334, 612 is 332850730716.

2. How to calculate the LCM of 263, 203, 244, 334, 612?

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 263, 203, 244, 334, 612.

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}.