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LCM of 167, 135, 334, 360

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


Find the LCM of 167, 135, 334, 360 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 167, 135, 334, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,135,334,360

Given numbers are 167,135,334,360

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

The LCM of 167,135,334,360 is 180360.

Find LCM of 167,135,334,360 with Prime Factorization


2 167, 135, 334, 360
3 167, 135, 167, 180
3 167, 45, 167, 60
5 167, 15, 167, 20
167 167, 3, 167, 4
1, 3, 1, 4

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

2 x 3 x 3 x 5 x 167 x 1 x 3 x 1 x 4 = 180360

Therefore, the lowest common multiple of 167,135,334,360 is 180360.

LCM Formula to Find Lowest Common Multiple of 167,135,334,360

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.

167 x 135 x 334 x 360 = 2710810800

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.

167 : 1, 167

135 : 1, 3, 5, 9, 15, 27, 45, 135

334 : 1, 2, 167, 334

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,135,334,360, is 1.

Now, the common factors can be found like this.

167:167

135:3x 3x 3x 5

334:2x 167

360:2x 2x 2x 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 3x 3x 5x 167 = 15030

Therefore, the value for common factors is 15030.

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 = 2710810800/(1x15030)

LCM = 2710810800/15030

LCM = 180360

Thus, we can understand that the LCM of 167,135,334,360 is 180360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 135, 334, 360

1. What is the LCM of 167, 135, 334, 360?

Answer: LCM of 167, 135, 334, 360 is 180360.

2. How to calculate the LCM of 167, 135, 334, 360?

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 167, 135, 334, 360.

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}.