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LCM of 269, 928, 168, 360

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


Find the LCM of 269, 928, 168, 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 269, 928, 168, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,928,168,360

Given numbers are 269,928,168,360

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

The LCM of 269,928,168,360 is 78634080.

Find LCM of 269,928,168,360 with Prime Factorization


2 269, 928, 168, 360
2 269, 464, 84, 180
2 269, 232, 42, 90
3 269, 116, 21, 45
269, 116, 7, 15

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

2 x 2 x 2 x 3 x 269 x 116 x 7 x 15 = 78634080

Therefore, the lowest common multiple of 269,928,168,360 is 78634080.

LCM Formula to Find Lowest Common Multiple of 269,928,168,360

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.

269 x 928 x 168 x 360 = 15097743360

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.

269 : 1, 269

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 269,928,168,360, is 1.

Now, the common factors can be found like this.

269:269

928:2x 2x 2x 2x 2x 29

168:2x 2x 2x 3x 7

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 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 15097743360/(1x192)

LCM = 15097743360/192

LCM = 78634080

Thus, we can understand that the LCM of 269,928,168,360 is 78634080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 928, 168, 360

1. What is the LCM of 269, 928, 168, 360?

Answer: LCM of 269, 928, 168, 360 is 78634080.

2. How to calculate the LCM of 269, 928, 168, 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 269, 928, 168, 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}.