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LCM of 334, 167, 174, 810

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


Find the LCM of 334, 167, 174, 810 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 334, 167, 174, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,167,174,810

Given numbers are 334,167,174,810

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

The LCM of 334,167,174,810 is 3922830.

Find LCM of 334,167,174,810 with Prime Factorization


2 334, 167, 174, 810
3 167, 167, 87, 405
167 167, 167, 29, 135
1, 1, 29, 135

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

2 x 3 x 167 x 1 x 1 x 29 x 135 = 3922830

Therefore, the lowest common multiple of 334,167,174,810 is 3922830.

LCM Formula to Find Lowest Common Multiple of 334,167,174,810

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.

334 x 167 x 174 x 810 = 7861351320

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.

334 : 1, 2, 167, 334

167 : 1, 167

174 : 1, 2, 3, 6, 29, 58, 87, 174

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,167,174,810, is 1.

Now, the common factors can be found like this.

334:2x 167

167:167

174:2x 3x 29

810:2x 3x 3x 3x 3x 5

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 3x 167 = 2004

Therefore, the value for common factors is 2004.

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 = 7861351320/(1x2004)

LCM = 7861351320/2004

LCM = 3922830

Thus, we can understand that the LCM of 334,167,174,810 is 3922830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 167, 174, 810

1. What is the LCM of 334, 167, 174, 810?

Answer: LCM of 334, 167, 174, 810 is 3922830.

2. How to calculate the LCM of 334, 167, 174, 810?

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 334, 167, 174, 810.

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}.