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LCM of 546, 446, 904

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


Find the LCM of 546, 446, 904 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 546, 446, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,446,904

Given numbers are 546,446,904

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

The LCM of 546,446,904 is 55034616.

Find LCM of 546,446,904 with Prime Factorization


2 546, 446, 904
273, 223, 452

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

2 x 273 x 223 x 452 = 55034616

Therefore, the lowest common multiple of 546,446,904 is 55034616.

LCM Formula to Find Lowest Common Multiple of 546,446,904

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.

546 x 446 x 904 = 220138464

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

446 : 1, 2, 223, 446

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,446,904, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

446:2x 223

904:2x 2x 2x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 220138464/(2x2)

LCM = 220138464/4

LCM = 55034616

Thus, we can understand that the LCM of 546,446,904 is 55034616.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 546, 446, 904

1. What is the LCM of 546, 446, 904?

Answer: LCM of 546, 446, 904 is 55034616.

2. How to calculate the LCM of 546, 446, 904?

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 546, 446, 904.

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}.