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LCM of 546, 457, 559, 457

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


Find the LCM of 546, 457, 559, 457 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, 457, 559, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,457,559,457

Given numbers are 546,457,559,457

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

The LCM of 546,457,559,457 is 10729446.

Find LCM of 546,457,559,457 with Prime Factorization


13 546, 457, 559, 457
457 42, 457, 43, 457
42, 1, 43, 1

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

13 x 457 x 42 x 1 x 43 x 1 = 10729446

Therefore, the lowest common multiple of 546,457,559,457 is 10729446.

LCM Formula to Find Lowest Common Multiple of 546,457,559,457

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 457 x 559 x 457 = 63743638686

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

457 : 1, 457

559 : 1, 13, 43, 559

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,457,559,457, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

457:457

559:13x 43

457:457

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

13x 457 = 5941

Therefore, the value for common factors is 5941.

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 = 63743638686/(1x5941)

LCM = 63743638686/5941

LCM = 10729446

Thus, we can understand that the LCM of 546,457,559,457 is 10729446.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 457, 559, 457

1. What is the LCM of 546, 457, 559, 457?

Answer: LCM of 546, 457, 559, 457 is 10729446.

2. How to calculate the LCM of 546, 457, 559, 457?

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, 457, 559, 457.

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}.