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LCM of 482, 791, 904, 306

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


Find the LCM of 482, 791, 904, 306 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 482, 791, 904, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,791,904,306

Given numbers are 482,791,904,306

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

The LCM of 482,791,904,306 is 233332344.

Find LCM of 482,791,904,306 with Prime Factorization


2 482, 791, 904, 306
113 241, 791, 452, 153
241, 7, 4, 153

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

2 x 113 x 241 x 7 x 4 x 153 = 233332344

Therefore, the lowest common multiple of 482,791,904,306 is 233332344.

LCM Formula to Find Lowest Common Multiple of 482,791,904,306

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.

482 x 791 x 904 x 306 = 105466219488

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.

482 : 1, 2, 241, 482

791 : 1, 7, 113, 791

904 : 1, 2, 4, 8, 113, 226, 452, 904

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,791,904,306, is 1.

Now, the common factors can be found like this.

482:2x 241

791:7x 113

904:2x 2x 2x 113

306:2x 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 113 = 452

Therefore, the value for common factors is 452.

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 = 105466219488/(1x452)

LCM = 105466219488/452

LCM = 233332344

Thus, we can understand that the LCM of 482,791,904,306 is 233332344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 791, 904, 306

1. What is the LCM of 482, 791, 904, 306?

Answer: LCM of 482, 791, 904, 306 is 233332344.

2. How to calculate the LCM of 482, 791, 904, 306?

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 482, 791, 904, 306.

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}.