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LCM of 114, 200, 564, 173

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


Find the LCM of 114, 200, 564, 173 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 114, 200, 564, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,200,564,173

Given numbers are 114,200,564,173

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

The LCM of 114,200,564,173 is 92693400.

Find LCM of 114,200,564,173 with Prime Factorization


2 114, 200, 564, 173
2 57, 100, 282, 173
3 57, 50, 141, 173
19, 50, 47, 173

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

2 x 2 x 3 x 19 x 50 x 47 x 173 = 92693400

Therefore, the lowest common multiple of 114,200,564,173 is 92693400.

LCM Formula to Find Lowest Common Multiple of 114,200,564,173

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.

114 x 200 x 564 x 173 = 2224641600

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,200,564,173, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

200:2x 2x 2x 5x 5

564:2x 2x 3x 47

173:173

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 = 2224641600/(1x24)

LCM = 2224641600/24

LCM = 92693400

Thus, we can understand that the LCM of 114,200,564,173 is 92693400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 200, 564, 173

1. What is the LCM of 114, 200, 564, 173?

Answer: LCM of 114, 200, 564, 173 is 92693400.

2. How to calculate the LCM of 114, 200, 564, 173?

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 114, 200, 564, 173.

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}.