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LCM of 904, 226, 446, 622, 714

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


Find the LCM of 904, 226, 446, 622, 714 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 904, 226, 446, 622, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,226,446,622,714

Given numbers are 904,226,446,622,714

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

The LCM of 904,226,446,622,714 is 22382154984.

Find LCM of 904,226,446,622,714 with Prime Factorization


2 904, 226, 446, 622, 714
113 452, 113, 223, 311, 357
4, 1, 223, 311, 357

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

2 x 113 x 4 x 1 x 223 x 311 x 357 = 22382154984

Therefore, the lowest common multiple of 904,226,446,622,714 is 22382154984.

LCM Formula to Find Lowest Common Multiple of 904,226,446,622,714

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.

904 x 226 x 446 x 622 x 714 = 40466936211072

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.

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

226 : 1, 2, 113, 226

446 : 1, 2, 223, 446

622 : 1, 2, 311, 622

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,226,446,622,714, is 2.

Now, the common factors can be found like this.

904:2x 2x 2x 113

226:2x 113

446:2x 223

622:2x 311

714:2x 3x 7x 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 2x 113 = 904

Therefore, the value for common factors is 904.

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 = 40466936211072/(2x904)

LCM = 40466936211072/1808

LCM = 22382154984

Thus, we can understand that the LCM of 904,226,446,622,714 is 22382154984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 226, 446, 622, 714

1. What is the LCM of 904, 226, 446, 622, 714?

Answer: LCM of 904, 226, 446, 622, 714 is 22382154984.

2. How to calculate the LCM of 904, 226, 446, 622, 714?

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 904, 226, 446, 622, 714.

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}.