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LCM of 173, 745, 894, 668

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


Find the LCM of 173, 745, 894, 668 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 173, 745, 894, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,745,894,668

Given numbers are 173,745,894,668

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

The LCM of 173,745,894,668 is 258285540.

Find LCM of 173,745,894,668 with Prime Factorization


2 173, 745, 894, 668
149 173, 745, 447, 334
173, 5, 3, 334

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

2 x 149 x 173 x 5 x 3 x 334 = 258285540

Therefore, the lowest common multiple of 173,745,894,668 is 258285540.

LCM Formula to Find Lowest Common Multiple of 173,745,894,668

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.

173 x 745 x 894 x 668 = 76969090920

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.

173 : 1, 173

745 : 1, 5, 149, 745

894 : 1, 2, 3, 6, 149, 298, 447, 894

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,745,894,668, is 1.

Now, the common factors can be found like this.

173:173

745:5x 149

894:2x 3x 149

668:2x 2x 167

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 76969090920/(1x298)

LCM = 76969090920/298

LCM = 258285540

Thus, we can understand that the LCM of 173,745,894,668 is 258285540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 745, 894, 668

1. What is the LCM of 173, 745, 894, 668?

Answer: LCM of 173, 745, 894, 668 is 258285540.

2. How to calculate the LCM of 173, 745, 894, 668?

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 173, 745, 894, 668.

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}.