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LCM of 116, 382, 169, 675

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


Find the LCM of 116, 382, 169, 675 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 116, 382, 169, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,382,169,675

Given numbers are 116,382,169,675

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

The LCM of 116,382,169,675 is 2527445700.

Find LCM of 116,382,169,675 with Prime Factorization


2 116, 382, 169, 675
58, 191, 169, 675

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

2 x 58 x 191 x 169 x 675 = 2527445700

Therefore, the lowest common multiple of 116,382,169,675 is 2527445700.

LCM Formula to Find Lowest Common Multiple of 116,382,169,675

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.

116 x 382 x 169 x 675 = 5054891400

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.

116 : 1, 2, 4, 29, 58, 116

382 : 1, 2, 191, 382

169 : 1, 13, 169

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,382,169,675, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

382:2x 191

169:13x 13

675:3x 3x 3x 5x 5

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5054891400/(1x2)

LCM = 5054891400/2

LCM = 2527445700

Thus, we can understand that the LCM of 116,382,169,675 is 2527445700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 382, 169, 675

1. What is the LCM of 116, 382, 169, 675?

Answer: LCM of 116, 382, 169, 675 is 2527445700.

2. How to calculate the LCM of 116, 382, 169, 675?

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 116, 382, 169, 675.

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}.