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LCM of 544, 923, 201, 718, 828

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


Find the LCM of 544, 923, 201, 718, 828 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, 923, 201, 718, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,923,201,718,828

Given numbers are 544,923,201,718,828

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

The LCM of 544,923,201,718,828 is 2500001086752.

Find LCM of 544,923,201,718,828 with Prime Factorization


2 544, 923, 201, 718, 828
2 272, 923, 201, 359, 414
3 136, 923, 201, 359, 207
136, 923, 67, 359, 69

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

2 x 2 x 3 x 136 x 923 x 67 x 359 x 69 = 2500001086752

Therefore, the lowest common multiple of 544,923,201,718,828 is 2500001086752.

LCM Formula to Find Lowest Common Multiple of 544,923,201,718,828

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 923 x 201 x 718 x 828 = 60000026082048

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

923 : 1, 13, 71, 923

201 : 1, 3, 67, 201

718 : 1, 2, 359, 718

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,923,201,718,828, is 1.

Now, the common factors can be found like this.

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

923:13x 71

201:3x 67

718:2x 359

828:2x 2x 3x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 60000026082048/(1x24)

LCM = 60000026082048/24

LCM = 2500001086752

Thus, we can understand that the LCM of 544,923,201,718,828 is 2500001086752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 923, 201, 718, 828

1. What is the LCM of 544, 923, 201, 718, 828?

Answer: LCM of 544, 923, 201, 718, 828 is 2500001086752.

2. How to calculate the LCM of 544, 923, 201, 718, 828?

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, 923, 201, 718, 828.

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}.