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LCM of 544, 221, 427, 901

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


Find the LCM of 544, 221, 427, 901 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 544, 221, 427, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,221,427,901

Given numbers are 544,221,427,901

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

The LCM of 544,221,427,901 is 160046432.

Find LCM of 544,221,427,901 with Prime Factorization


17 544, 221, 427, 901
32, 13, 427, 53

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

17 x 32 x 13 x 427 x 53 = 160046432

Therefore, the lowest common multiple of 544,221,427,901 is 160046432.

LCM Formula to Find Lowest Common Multiple of 544,221,427,901

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.

544 x 221 x 427 x 901 = 46253418848

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

221 : 1, 13, 17, 221

427 : 1, 7, 61, 427

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,221,427,901, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

221:13x 17

427:7x 61

901:17x 53

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 46253418848/(1x289)

LCM = 46253418848/289

LCM = 160046432

Thus, we can understand that the LCM of 544,221,427,901 is 160046432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 221, 427, 901

1. What is the LCM of 544, 221, 427, 901?

Answer: LCM of 544, 221, 427, 901 is 160046432.

2. How to calculate the LCM of 544, 221, 427, 901?

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 544, 221, 427, 901.

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}.